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Finding the Fourth Proportional to 29,819.16, 44,721 and 10,097.28

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Solution

The fourth proportional to 29,819.16, 44,721 and 10,097.28 is: 15,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.16 : 44,721 = 10,097.28 : x
  2. Step 2: Convert to fraction form
    29,819.16/44,721 = 10,097.28/x
  3. Step 3: Cross multiply
    29,819.16x = 44,721 × 10,097.28
  4. Step 4: Simplify right side
    29,819.16x = 451,560,458.88
  5. Step 5: Solve for x
    x = 451,560,458.88/29,819.16
  6. Step 6: Final answer
    x = 15,143.30

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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.