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Finding the Fourth Proportional to 80,290.85, 120,442.50 and 24,126.57

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Solution

The fourth proportional to 80,290.85, 120,442.50 and 24,126.57 is: 36,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,290.85 : 120,442.50 = 24,126.57 : x
  2. Step 2: Convert to fraction form
    80,290.85/120,442.50 = 24,126.57/x
  3. Step 3: Cross multiply
    80,290.85x = 120,442.50 × 24,126.57
  4. Step 4: Simplify right side
    80,290.85x = 2,905,864,407.23
  5. Step 5: Solve for x
    x = 2,905,864,407.23/80,290.85
  6. Step 6: Final answer
    x = 36,191.73

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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.