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Finding the Fourth Proportional to 83,861.96, 125,734.62 and 31,257.32

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Solution

The fourth proportional to 83,861.96, 125,734.62 and 31,257.32 is: 46,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,861.96 : 125,734.62 = 31,257.32 : x
  2. Step 2: Convert to fraction form
    83,861.96/125,734.62 = 31,257.32/x
  3. Step 3: Cross multiply
    83,861.96x = 125,734.62 × 31,257.32
  4. Step 4: Simplify right side
    83,861.96x = 3,930,127,252.42
  5. Step 5: Solve for x
    x = 3,930,127,252.42/83,861.96
  6. Step 6: Final answer
    x = 46,864.24

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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.