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Finding the Fourth Proportional to 42,294.38, 58,368.15 and 23,431.50

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Solution

The fourth proportional to 42,294.38, 58,368.15 and 23,431.50 is: 32,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294.38 : 58,368.15 = 23,431.50 : x
  2. Step 2: Convert to fraction form
    42,294.38/58,368.15 = 23,431.50/x
  3. Step 3: Cross multiply
    42,294.38x = 58,368.15 × 23,431.50
  4. Step 4: Simplify right side
    42,294.38x = 1,367,653,306.73
  5. Step 5: Solve for x
    x = 1,367,653,306.73/42,294.38
  6. Step 6: Final answer
    x = 32,336.53

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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.