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Finding the Fourth Proportional to 39,842.62, 59,758.14 and 11,761.30

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Solution

The fourth proportional to 39,842.62, 59,758.14 and 11,761.30 is: 17,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842.62 : 59,758.14 = 11,761.30 : x
  2. Step 2: Convert to fraction form
    39,842.62/59,758.14 = 11,761.30/x
  3. Step 3: Cross multiply
    39,842.62x = 59,758.14 × 11,761.30
  4. Step 4: Simplify right side
    39,842.62x = 702,833,411.98
  5. Step 5: Solve for x
    x = 702,833,411.98/39,842.62
  6. Step 6: Final answer
    x = 17,640.24

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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.