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Finding the Fourth Proportional to 57,197.31, 78,932.24 and 32,046.99

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Solution

The fourth proportional to 57,197.31, 78,932.24 and 32,046.99 is: 44,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.31 : 78,932.24 = 32,046.99 : x
  2. Step 2: Convert to fraction form
    57,197.31/78,932.24 = 32,046.99/x
  3. Step 3: Cross multiply
    57,197.31x = 78,932.24 × 32,046.99
  4. Step 4: Simplify right side
    57,197.31x = 2,529,540,545.72
  5. Step 5: Solve for x
    x = 2,529,540,545.72/57,197.31
  6. Step 6: Final answer
    x = 44,224.82

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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.