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Finding the Fourth Proportional to 49,983.71, 74,957.13 and 16,694.87

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Solution

The fourth proportional to 49,983.71, 74,957.13 and 16,694.87 is: 25,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983.71 : 74,957.13 = 16,694.87 : x
  2. Step 2: Convert to fraction form
    49,983.71/74,957.13 = 16,694.87/x
  3. Step 3: Cross multiply
    49,983.71x = 74,957.13 × 16,694.87
  4. Step 4: Simplify right side
    49,983.71x = 1,251,399,166.14
  5. Step 5: Solve for x
    x = 1,251,399,166.14/49,983.71
  6. Step 6: Final answer
    x = 25,036.14

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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.