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Finding the Fourth Proportional to 41,448, 62,184.15 and 13,367.49

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Solution

The fourth proportional to 41,448, 62,184.15 and 13,367.49 is: 20,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448 : 62,184.15 = 13,367.49 : x
  2. Step 2: Convert to fraction form
    41,448/62,184.15 = 13,367.49/x
  3. Step 3: Cross multiply
    41,448x = 62,184.15 × 13,367.49
  4. Step 4: Simplify right side
    41,448x = 831,246,003.28
  5. Step 5: Solve for x
    x = 831,246,003.28/41,448
  6. Step 6: Final answer
    x = 20,055.15

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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.