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Finding the Fourth Proportional to 42,098.71, 58,080.99 and 32,411.14

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Solution

The fourth proportional to 42,098.71, 58,080.99 and 32,411.14 is: 44,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,098.71 : 58,080.99 = 32,411.14 : x
  2. Step 2: Convert to fraction form
    42,098.71/58,080.99 = 32,411.14/x
  3. Step 3: Cross multiply
    42,098.71x = 58,080.99 × 32,411.14
  4. Step 4: Simplify right side
    42,098.71x = 1,882,471,098.23
  5. Step 5: Solve for x
    x = 1,882,471,098.23/42,098.71
  6. Step 6: Final answer
    x = 44,715.65

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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.