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Finding the Fourth Proportional to 42,414.89, 58,534.35 and 23,552

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Solution

The fourth proportional to 42,414.89, 58,534.35 and 23,552 is: 32,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414.89 : 58,534.35 = 23,552 : x
  2. Step 2: Convert to fraction form
    42,414.89/58,534.35 = 23,552/x
  3. Step 3: Cross multiply
    42,414.89x = 58,534.35 × 23,552
  4. Step 4: Simplify right side
    42,414.89x = 1,378,601,011.20
  5. Step 5: Solve for x
    x = 1,378,601,011.20/42,414.89
  6. Step 6: Final answer
    x = 32,502.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.