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Finding the Fourth Proportional to 82,447.50, 123,588.18 and 32,508.24

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Solution

The fourth proportional to 82,447.50, 123,588.18 and 32,508.24 is: 48,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,447.50 : 123,588.18 = 32,508.24 : x
  2. Step 2: Convert to fraction form
    82,447.50/123,588.18 = 32,508.24/x
  3. Step 3: Cross multiply
    82,447.50x = 123,588.18 × 32,508.24
  4. Step 4: Simplify right side
    82,447.50x = 4,017,634,216.60
  5. Step 5: Solve for x
    x = 4,017,634,216.60/82,447.50
  6. Step 6: Final answer
    x = 48,729.61

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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.