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Finding the Fourth Proportional to 24,052.43, 36,082.49 and 7,408.95

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Solution

The fourth proportional to 24,052.43, 36,082.49 and 7,408.95 is: 11,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.43 : 36,082.49 = 7,408.95 : x
  2. Step 2: Convert to fraction form
    24,052.43/36,082.49 = 7,408.95/x
  3. Step 3: Cross multiply
    24,052.43x = 36,082.49 × 7,408.95
  4. Step 4: Simplify right side
    24,052.43x = 267,333,327.24
  5. Step 5: Solve for x
    x = 267,333,327.24/24,052.43
  6. Step 6: Final answer
    x = 11,114.61

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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.