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Finding the Fourth Proportional to 107,862.30, 161,793.45 and 32,982.44

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Solution

The fourth proportional to 107,862.30, 161,793.45 and 32,982.44 is: 49,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862.30 : 161,793.45 = 32,982.44 : x
  2. Step 2: Convert to fraction form
    107,862.30/161,793.45 = 32,982.44/x
  3. Step 3: Cross multiply
    107,862.30x = 161,793.45 × 32,982.44
  4. Step 4: Simplify right side
    107,862.30x = 5,336,341,948.05
  5. Step 5: Solve for x
    x = 5,336,341,948.05/107,862.30
  6. Step 6: Final answer
    x = 49,473.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.