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Finding the Fourth Proportional to 71,688.76, 98,929.94 and 39,857.38

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Solution

The fourth proportional to 71,688.76, 98,929.94 and 39,857.38 is: 55,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,688.76 : 98,929.94 = 39,857.38 : x
  2. Step 2: Convert to fraction form
    71,688.76/98,929.94 = 39,857.38/x
  3. Step 3: Cross multiply
    71,688.76x = 98,929.94 × 39,857.38
  4. Step 4: Simplify right side
    71,688.76x = 3,943,088,211.96
  5. Step 5: Solve for x
    x = 3,943,088,211.96/71,688.76
  6. Step 6: Final answer
    x = 55,002.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.