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Finding the Fourth Proportional to 57,951.48, 86,927.22 and 31,641.87

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Solution

The fourth proportional to 57,951.48, 86,927.22 and 31,641.87 is: 47,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.48 : 86,927.22 = 31,641.87 : x
  2. Step 2: Convert to fraction form
    57,951.48/86,927.22 = 31,641.87/x
  3. Step 3: Cross multiply
    57,951.48x = 86,927.22 × 31,641.87
  4. Step 4: Simplify right side
    57,951.48x = 2,750,539,350.07
  5. Step 5: Solve for x
    x = 2,750,539,350.07/57,951.48
  6. Step 6: Final answer
    x = 47,462.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.