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Finding the Fourth Proportional to 107,568.74, 161,378.01 and 36,487.59

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Solution

The fourth proportional to 107,568.74, 161,378.01 and 36,487.59 is: 54,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,568.74 : 161,378.01 = 36,487.59 : x
  2. Step 2: Convert to fraction form
    107,568.74/161,378.01 = 36,487.59/x
  3. Step 3: Cross multiply
    107,568.74x = 161,378.01 × 36,487.59
  4. Step 4: Simplify right side
    107,568.74x = 5,888,294,663.90
  5. Step 5: Solve for x
    x = 5,888,294,663.90/107,568.74
  6. Step 6: Final answer
    x = 54,739.83

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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.