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Finding the Fourth Proportional to 82,124.65, 123,219.17 and 32,196.20

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Solution

The fourth proportional to 82,124.65, 123,219.17 and 32,196.20 is: 48,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.65 : 123,219.17 = 32,196.20 : x
  2. Step 2: Convert to fraction form
    82,124.65/123,219.17 = 32,196.20/x
  3. Step 3: Cross multiply
    82,124.65x = 123,219.17 × 32,196.20
  4. Step 4: Simplify right side
    82,124.65x = 3,967,189,259.02
  5. Step 5: Solve for x
    x = 3,967,189,259.02/82,124.65
  6. Step 6: Final answer
    x = 48,306.92

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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.