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Finding the Fourth Proportional to 82,402.10, 123,635.55 and 32,473.70

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Solution

The fourth proportional to 82,402.10, 123,635.55 and 32,473.70 is: 48,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402.10 : 123,635.55 = 32,473.70 : x
  2. Step 2: Convert to fraction form
    82,402.10/123,635.55 = 32,473.70/x
  3. Step 3: Cross multiply
    82,402.10x = 123,635.55 × 32,473.70
  4. Step 4: Simplify right side
    82,402.10x = 4,014,903,760.04
  5. Step 5: Solve for x
    x = 4,014,903,760.04/82,402.10
  6. Step 6: Final answer
    x = 48,723.32

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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.