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Finding the Fourth Proportional to 74,151.38, 102,319.08 and 42,318.38

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Solution

The fourth proportional to 74,151.38, 102,319.08 and 42,318.38 is: 58,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,151.38 : 102,319.08 = 42,318.38 : x
  2. Step 2: Convert to fraction form
    74,151.38/102,319.08 = 42,318.38/x
  3. Step 3: Cross multiply
    74,151.38x = 102,319.08 × 42,318.38
  4. Step 4: Simplify right side
    74,151.38x = 4,329,977,708.69
  5. Step 5: Solve for x
    x = 4,329,977,708.69/74,151.38
  6. Step 6: Final answer
    x = 58,393.76

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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.