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Finding the Fourth Proportional to 38,545.80, 57,948.30 and 32,843.40

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Solution

The fourth proportional to 38,545.80, 57,948.30 and 32,843.40 is: 49,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.80 : 57,948.30 = 32,843.40 : x
  2. Step 2: Convert to fraction form
    38,545.80/57,948.30 = 32,843.40/x
  3. Step 3: Cross multiply
    38,545.80x = 57,948.30 × 32,843.40
  4. Step 4: Simplify right side
    38,545.80x = 1,903,219,196.22
  5. Step 5: Solve for x
    x = 1,903,219,196.22/38,545.80
  6. Step 6: Final answer
    x = 49,375.53

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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.