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Finding the Fourth Proportional to 107,494.16, 161,241.62 and 32,614.94

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Solution

The fourth proportional to 107,494.16, 161,241.62 and 32,614.94 is: 48,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,494.16 : 161,241.62 = 32,614.94 : x
  2. Step 2: Convert to fraction form
    107,494.16/161,241.62 = 32,614.94/x
  3. Step 3: Cross multiply
    107,494.16x = 161,241.62 × 32,614.94
  4. Step 4: Simplify right side
    107,494.16x = 5,258,885,761.80
  5. Step 5: Solve for x
    x = 5,258,885,761.80/107,494.16
  6. Step 6: Final answer
    x = 48,922.53

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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.