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Finding the Fourth Proportional to 41,648.64, 62,472.90 and 13,568.65

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Solution

The fourth proportional to 41,648.64, 62,472.90 and 13,568.65 is: 20,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648.64 : 62,472.90 = 13,568.65 : x
  2. Step 2: Convert to fraction form
    41,648.64/62,472.90 = 13,568.65/x
  3. Step 3: Cross multiply
    41,648.64x = 62,472.90 × 13,568.65
  4. Step 4: Simplify right side
    41,648.64x = 847,672,914.59
  5. Step 5: Solve for x
    x = 847,672,914.59/41,648.64
  6. Step 6: Final answer
    x = 20,352.96

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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.