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Finding the Fourth Proportional to 31,705.92, 43,753.50 and 17,557.92

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Solution

The fourth proportional to 31,705.92, 43,753.50 and 17,557.92 is: 24,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.92 : 43,753.50 = 17,557.92 : x
  2. Step 2: Convert to fraction form
    31,705.92/43,753.50 = 17,557.92/x
  3. Step 3: Cross multiply
    31,705.92x = 43,753.50 × 17,557.92
  4. Step 4: Simplify right side
    31,705.92x = 768,220,452.72
  5. Step 5: Solve for x
    x = 768,220,452.72/31,705.92
  6. Step 6: Final answer
    x = 24,229.56

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1.5x scale

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.