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Finding the Fourth Proportional to 73,891.71, 101,983.05 and 42,056.28

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Solution

The fourth proportional to 73,891.71, 101,983.05 and 42,056.28 is: 58,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,891.71 : 101,983.05 = 42,056.28 : x
  2. Step 2: Convert to fraction form
    73,891.71/101,983.05 = 42,056.28/x
  3. Step 3: Cross multiply
    73,891.71x = 101,983.05 × 42,056.28
  4. Step 4: Simplify right side
    73,891.71x = 4,289,027,706.05
  5. Step 5: Solve for x
    x = 4,289,027,706.05/73,891.71
  6. Step 6: Final answer
    x = 58,044.78

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Why These Related Problems?

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