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Finding the Fourth Proportional to 29,863.76, 44,792.20 and 10,142.44

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Solution

The fourth proportional to 29,863.76, 44,792.20 and 10,142.44 is: 15,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,863.76 : 44,792.20 = 10,142.44 : x
  2. Step 2: Convert to fraction form
    29,863.76/44,792.20 = 10,142.44/x
  3. Step 3: Cross multiply
    29,863.76x = 44,792.20 × 10,142.44
  4. Step 4: Simplify right side
    29,863.76x = 454,302,200.97
  5. Step 5: Solve for x
    x = 454,302,200.97/29,863.76
  6. Step 6: Final answer
    x = 15,212.49

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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.