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Finding the Fourth Proportional to 29,872.96, 44,686.24 and 24,548

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Solution

The fourth proportional to 29,872.96, 44,686.24 and 24,548 is: 36,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.96 : 44,686.24 = 24,548 : x
  2. Step 2: Convert to fraction form
    29,872.96/44,686.24 = 24,548/x
  3. Step 3: Cross multiply
    29,872.96x = 44,686.24 × 24,548
  4. Step 4: Simplify right side
    29,872.96x = 1,096,957,819.52
  5. Step 5: Solve for x
    x = 1,096,957,819.52/29,872.96
  6. Step 6: Final answer
    x = 36,720.76

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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.