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Finding the Fourth Proportional to 80,251.96, 120,399.72 and 24,094.48

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Solution

The fourth proportional to 80,251.96, 120,399.72 and 24,094.48 is: 36,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,251.96 : 120,399.72 = 24,094.48 : x
  2. Step 2: Convert to fraction form
    80,251.96/120,399.72 = 24,094.48/x
  3. Step 3: Cross multiply
    80,251.96x = 120,399.72 × 24,094.48
  4. Step 4: Simplify right side
    80,251.96x = 2,900,968,645.55
  5. Step 5: Solve for x
    x = 2,900,968,645.55/80,251.96
  6. Step 6: Final answer
    x = 36,148.26

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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.