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Finding the Fourth Proportional to 41,649, 62,480 and 13,562.42

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Solution

The fourth proportional to 41,649, 62,480 and 13,562.42 is: 20,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649 : 62,480 = 13,562.42 : x
  2. Step 2: Convert to fraction form
    41,649/62,480 = 13,562.42/x
  3. Step 3: Cross multiply
    41,649x = 62,480 × 13,562.42
  4. Step 4: Simplify right side
    41,649x = 847,380,001.60
  5. Step 5: Solve for x
    x = 847,380,001.60/41,649
  6. Step 6: Final answer
    x = 20,345.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.