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Finding the Fourth Proportional to 42,157.38, 58,151.73 and 27,812.10

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Solution

The fourth proportional to 42,157.38, 58,151.73 and 27,812.10 is: 38,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,157.38 : 58,151.73 = 27,812.10 : x
  2. Step 2: Convert to fraction form
    42,157.38/58,151.73 = 27,812.10/x
  3. Step 3: Cross multiply
    42,157.38x = 58,151.73 × 27,812.10
  4. Step 4: Simplify right side
    42,157.38x = 1,617,321,729.93
  5. Step 5: Solve for x
    x = 1,617,321,729.93/42,157.38
  6. Step 6: Final answer
    x = 38,363.91

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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.