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Finding the Fourth Proportional to 29,881.20, 44,819.10 and 10,160.40

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Solution

The fourth proportional to 29,881.20, 44,819.10 and 10,160.40 is: 15,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.20 : 44,819.10 = 10,160.40 : x
  2. Step 2: Convert to fraction form
    29,881.20/44,819.10 = 10,160.40/x
  3. Step 3: Cross multiply
    29,881.20x = 44,819.10 × 10,160.40
  4. Step 4: Simplify right side
    29,881.20x = 455,379,983.64
  5. Step 5: Solve for x
    x = 455,379,983.64/29,881.20
  6. Step 6: Final answer
    x = 15,239.68

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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.