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Finding the Fourth Proportional to 42,114.52, 58,118 and 23,251.76

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Solution

The fourth proportional to 42,114.52, 58,118 and 23,251.76 is: 32,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,114.52 : 58,118 = 23,251.76 : x
  2. Step 2: Convert to fraction form
    42,114.52/58,118 = 23,251.76/x
  3. Step 3: Cross multiply
    42,114.52x = 58,118 × 23,251.76
  4. Step 4: Simplify right side
    42,114.52x = 1,351,345,787.68
  5. Step 5: Solve for x
    x = 1,351,345,787.68/42,114.52
  6. Step 6: Final answer
    x = 32,087.41

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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.