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Finding the Fourth Proportional to 76,742.41, 115,129.25 and 32,369.33

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Solution

The fourth proportional to 76,742.41, 115,129.25 and 32,369.33 is: 48,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,742.41 : 115,129.25 = 32,369.33 : x
  2. Step 2: Convert to fraction form
    76,742.41/115,129.25 = 32,369.33/x
  3. Step 3: Cross multiply
    76,742.41x = 115,129.25 × 32,369.33
  4. Step 4: Simplify right side
    76,742.41x = 3,726,656,685.90
  5. Step 5: Solve for x
    x = 3,726,656,685.90/76,742.41
  6. Step 6: Final answer
    x = 48,560.59

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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.