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Finding the Fourth Proportional to 82,470.34, 123,705.18 and 29,867.50

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Solution

The fourth proportional to 82,470.34, 123,705.18 and 29,867.50 is: 44,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470.34 : 123,705.18 = 29,867.50 : x
  2. Step 2: Convert to fraction form
    82,470.34/123,705.18 = 29,867.50/x
  3. Step 3: Cross multiply
    82,470.34x = 123,705.18 × 29,867.50
  4. Step 4: Simplify right side
    82,470.34x = 3,694,764,463.65
  5. Step 5: Solve for x
    x = 3,694,764,463.65/82,470.34
  6. Step 6: Final answer
    x = 44,801.13

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