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Finding the Fourth Proportional to 57,141.38, 78,863.37 and 31,992.50

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Solution

The fourth proportional to 57,141.38, 78,863.37 and 31,992.50 is: 44,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.38 : 78,863.37 = 31,992.50 : x
  2. Step 2: Convert to fraction form
    57,141.38/78,863.37 = 31,992.50/x
  3. Step 3: Cross multiply
    57,141.38x = 78,863.37 × 31,992.50
  4. Step 4: Simplify right side
    57,141.38x = 2,523,036,364.73
  5. Step 5: Solve for x
    x = 2,523,036,364.73/57,141.38
  6. Step 6: Final answer
    x = 44,154.28

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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.