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Finding the Fourth Proportional to 82,303.19, 123,454.80 and 23,138.88

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Solution

The fourth proportional to 82,303.19, 123,454.80 and 23,138.88 is: 34,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,303.19 : 123,454.80 = 23,138.88 : x
  2. Step 2: Convert to fraction form
    82,303.19/123,454.80 = 23,138.88/x
  3. Step 3: Cross multiply
    82,303.19x = 123,454.80 × 23,138.88
  4. Step 4: Simplify right side
    82,303.19x = 2,856,605,802.62
  5. Step 5: Solve for x
    x = 2,856,605,802.62/82,303.19
  6. Step 6: Final answer
    x = 34,708.33

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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.