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Finding the Fourth Proportional to 30,016.32, 45,024.52 and 7,829.68

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Solution

The fourth proportional to 30,016.32, 45,024.52 and 7,829.68 is: 11,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.32 : 45,024.52 = 7,829.68 : x
  2. Step 2: Convert to fraction form
    30,016.32/45,024.52 = 7,829.68/x
  3. Step 3: Cross multiply
    30,016.32x = 45,024.52 × 7,829.68
  4. Step 4: Simplify right side
    30,016.32x = 352,527,583.75
  5. Step 5: Solve for x
    x = 352,527,583.75/30,016.32
  6. Step 6: Final answer
    x = 11,744.53

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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.