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Finding the Fourth Proportional to 107,871.96, 161,691.06 and 55,209.24

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Solution

The fourth proportional to 107,871.96, 161,691.06 and 55,209.24 is: 82,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,871.96 : 161,691.06 = 55,209.24 : x
  2. Step 2: Convert to fraction form
    107,871.96/161,691.06 = 55,209.24/x
  3. Step 3: Cross multiply
    107,871.96x = 161,691.06 × 55,209.24
  4. Step 4: Simplify right side
    107,871.96x = 8,926,840,537.39
  5. Step 5: Solve for x
    x = 8,926,840,537.39/107,871.96
  6. Step 6: Final answer
    x = 82,754.04

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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.