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Finding the Fourth Proportional to 42,381.38, 58,488.12 and 23,518.50

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Solution

The fourth proportional to 42,381.38, 58,488.12 and 23,518.50 is: 32,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381.38 : 58,488.12 = 23,518.50 : x
  2. Step 2: Convert to fraction form
    42,381.38/58,488.12 = 23,518.50/x
  3. Step 3: Cross multiply
    42,381.38x = 58,488.12 × 23,518.50
  4. Step 4: Simplify right side
    42,381.38x = 1,375,552,850.22
  5. Step 5: Solve for x
    x = 1,375,552,850.22/42,381.38
  6. Step 6: Final answer
    x = 32,456.54

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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.