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Finding the Fourth Proportional to 48,469.97, 72,696.76 and 13,401.43

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Solution

The fourth proportional to 48,469.97, 72,696.76 and 13,401.43 is: 20,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.97 : 72,696.76 = 13,401.43 : x
  2. Step 2: Convert to fraction form
    48,469.97/72,696.76 = 13,401.43/x
  3. Step 3: Cross multiply
    48,469.97x = 72,696.76 × 13,401.43
  4. Step 4: Simplify right side
    48,469.97x = 974,240,325.12
  5. Step 5: Solve for x
    x = 974,240,325.12/48,469.97
  6. Step 6: Final answer
    x = 20,099.87

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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.