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Finding the Fourth Proportional to 41,506.20, 62,246.04 and 13,420.32

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Solution

The fourth proportional to 41,506.20, 62,246.04 and 13,420.32 is: 20,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506.20 : 62,246.04 = 13,420.32 : x
  2. Step 2: Convert to fraction form
    41,506.20/62,246.04 = 13,420.32/x
  3. Step 3: Cross multiply
    41,506.20x = 62,246.04 × 13,420.32
  4. Step 4: Simplify right side
    41,506.20x = 835,361,775.53
  5. Step 5: Solve for x
    x = 835,361,775.53/41,506.20
  6. Step 6: Final answer
    x = 20,126.19

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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.