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Finding the Fourth Proportional to 82,422.57, 123,649.23 and 37,447.08

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Solution

The fourth proportional to 82,422.57, 123,649.23 and 37,447.08 is: 56,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422.57 : 123,649.23 = 37,447.08 : x
  2. Step 2: Convert to fraction form
    82,422.57/123,649.23 = 37,447.08/x
  3. Step 3: Cross multiply
    82,422.57x = 123,649.23 × 37,447.08
  4. Step 4: Simplify right side
    82,422.57x = 4,630,302,607.75
  5. Step 5: Solve for x
    x = 4,630,302,607.75/82,422.57
  6. Step 6: Final answer
    x = 56,177.61

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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.