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Finding the Fourth Proportional to 57,049.88, 78,732.47 and 31,899.38

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Solution

The fourth proportional to 57,049.88, 78,732.47 and 31,899.38 is: 44,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.88 : 78,732.47 = 31,899.38 : x
  2. Step 2: Convert to fraction form
    57,049.88/78,732.47 = 31,899.38/x
  3. Step 3: Cross multiply
    57,049.88x = 78,732.47 × 31,899.38
  4. Step 4: Simplify right side
    57,049.88x = 2,511,516,664.95
  5. Step 5: Solve for x
    x = 2,511,516,664.95/57,049.88
  6. Step 6: Final answer
    x = 44,023.18

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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.