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Finding the Fourth Proportional to 82,558.61, 123,837.92 and 32,662.20

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Solution

The fourth proportional to 82,558.61, 123,837.92 and 32,662.20 is: 48,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,558.61 : 123,837.92 = 32,662.20 : x
  2. Step 2: Convert to fraction form
    82,558.61/123,837.92 = 32,662.20/x
  3. Step 3: Cross multiply
    82,558.61x = 123,837.92 × 32,662.20
  4. Step 4: Simplify right side
    82,558.61x = 4,044,818,910.62
  5. Step 5: Solve for x
    x = 4,044,818,910.62/82,558.61
  6. Step 6: Final answer
    x = 48,993.30

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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.