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Finding the Fourth Proportional to 31,773.87, 47,671.20 and 22,881.87

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Solution

The fourth proportional to 31,773.87, 47,671.20 and 22,881.87 is: 34,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.87 : 47,671.20 = 22,881.87 : x
  2. Step 2: Convert to fraction form
    31,773.87/47,671.20 = 22,881.87/x
  3. Step 3: Cross multiply
    31,773.87x = 47,671.20 × 22,881.87
  4. Step 4: Simplify right side
    31,773.87x = 1,090,806,201.14
  5. Step 5: Solve for x
    x = 1,090,806,201.14/31,773.87
  6. Step 6: Final answer
    x = 34,330.29

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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.