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Finding the Fourth Proportional to 74,162.87, 102,363.07 and 42,350.22

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Solution

The fourth proportional to 74,162.87, 102,363.07 and 42,350.22 is: 58,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162.87 : 102,363.07 = 42,350.22 : x
  2. Step 2: Convert to fraction form
    74,162.87/102,363.07 = 42,350.22/x
  3. Step 3: Cross multiply
    74,162.87x = 102,363.07 × 42,350.22
  4. Step 4: Simplify right side
    74,162.87x = 4,335,098,534.38
  5. Step 5: Solve for x
    x = 4,335,098,534.38/74,162.87
  6. Step 6: Final answer
    x = 58,453.76

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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.