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Finding the Fourth Proportional to 29,524, 44,219.76 and 22,930.24

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Solution

The fourth proportional to 29,524, 44,219.76 and 22,930.24 is: 34,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524 : 44,219.76 = 22,930.24 : x
  2. Step 2: Convert to fraction form
    29,524/44,219.76 = 22,930.24/x
  3. Step 3: Cross multiply
    29,524x = 44,219.76 × 22,930.24
  4. Step 4: Simplify right side
    29,524x = 1,013,969,709.54
  5. Step 5: Solve for x
    x = 1,013,969,709.54/29,524
  6. Step 6: Final answer
    x = 34,343.91

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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.