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Finding the Fourth Proportional to 42,367.38, 58,467.76 and 23,248.14

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Solution

The fourth proportional to 42,367.38, 58,467.76 and 23,248.14 is: 32,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,367.38 : 58,467.76 = 23,248.14 : x
  2. Step 2: Convert to fraction form
    42,367.38/58,467.76 = 23,248.14/x
  3. Step 3: Cross multiply
    42,367.38x = 58,467.76 × 23,248.14
  4. Step 4: Simplify right side
    42,367.38x = 1,359,266,669.97
  5. Step 5: Solve for x
    x = 1,359,266,669.97/42,367.38
  6. Step 6: Final answer
    x = 32,082.86

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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.