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Finding the Fourth Proportional to 107,486.28, 161,294.22 and 37,414.80

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Solution

The fourth proportional to 107,486.28, 161,294.22 and 37,414.80 is: 56,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,486.28 : 161,294.22 = 37,414.80 : x
  2. Step 2: Convert to fraction form
    107,486.28/161,294.22 = 37,414.80/x
  3. Step 3: Cross multiply
    107,486.28x = 161,294.22 × 37,414.80
  4. Step 4: Simplify right side
    107,486.28x = 6,034,790,982.46
  5. Step 5: Solve for x
    x = 6,034,790,982.46/107,486.28
  6. Step 6: Final answer
    x = 56,144.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.