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Finding the Fourth Proportional to 82,511.68, 123,780.50 and 32,592.03

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Solution

The fourth proportional to 82,511.68, 123,780.50 and 32,592.03 is: 48,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.68 : 123,780.50 = 32,592.03 : x
  2. Step 2: Convert to fraction form
    82,511.68/123,780.50 = 32,592.03/x
  3. Step 3: Cross multiply
    82,511.68x = 123,780.50 × 32,592.03
  4. Step 4: Simplify right side
    82,511.68x = 4,034,257,769.42
  5. Step 5: Solve for x
    x = 4,034,257,769.42/82,511.68
  6. Step 6: Final answer
    x = 48,893.17

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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.