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Finding the Fourth Proportional to 55,546.56, 83,293.92 and 32,179.68

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Solution

The fourth proportional to 55,546.56, 83,293.92 and 32,179.68 is: 48,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546.56 : 83,293.92 = 32,179.68 : x
  2. Step 2: Convert to fraction form
    55,546.56/83,293.92 = 32,179.68/x
  3. Step 3: Cross multiply
    55,546.56x = 83,293.92 × 32,179.68
  4. Step 4: Simplify right side
    55,546.56x = 2,680,371,691.55
  5. Step 5: Solve for x
    x = 2,680,371,691.55/55,546.56
  6. Step 6: Final answer
    x = 48,254.50

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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.