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Finding the Fourth Proportional to 24,581.70, 36,872.55 and 6,113.70

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Solution

The fourth proportional to 24,581.70, 36,872.55 and 6,113.70 is: 9,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.70 : 36,872.55 = 6,113.70 : x
  2. Step 2: Convert to fraction form
    24,581.70/36,872.55 = 6,113.70/x
  3. Step 3: Cross multiply
    24,581.70x = 36,872.55 × 6,113.70
  4. Step 4: Simplify right side
    24,581.70x = 225,427,708.94
  5. Step 5: Solve for x
    x = 225,427,708.94/24,581.70
  6. Step 6: Final answer
    x = 9,170.55

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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.