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Finding the Fourth Proportional to 30,010.17, 45,014.67 and 7,823.10

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Solution

The fourth proportional to 30,010.17, 45,014.67 and 7,823.10 is: 11,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.17 : 45,014.67 = 7,823.10 : x
  2. Step 2: Convert to fraction form
    30,010.17/45,014.67 = 7,823.10/x
  3. Step 3: Cross multiply
    30,010.17x = 45,014.67 × 7,823.10
  4. Step 4: Simplify right side
    30,010.17x = 352,154,264.88
  5. Step 5: Solve for x
    x = 352,154,264.88/30,010.17
  6. Step 6: Final answer
    x = 11,734.50

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Half scale
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Double scale
Find fourth proportional to 30,011.17, 45,016.17 and 7,824.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.