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Finding the Fourth Proportional to 82,473.60, 123,742.80 and 32,545.20

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Solution

The fourth proportional to 82,473.60, 123,742.80 and 32,545.20 is: 48,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,473.60 : 123,742.80 = 32,545.20 : x
  2. Step 2: Convert to fraction form
    82,473.60/123,742.80 = 32,545.20/x
  3. Step 3: Cross multiply
    82,473.60x = 123,742.80 × 32,545.20
  4. Step 4: Simplify right side
    82,473.60x = 4,027,234,174.56
  5. Step 5: Solve for x
    x = 4,027,234,174.56/82,473.60
  6. Step 6: Final answer
    x = 48,830.59

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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.