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Finding the Fourth Proportional to 29,324.16, 43,982.78 and 8,265.78

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Solution

The fourth proportional to 29,324.16, 43,982.78 and 8,265.78 is: 12,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.16 : 43,982.78 = 8,265.78 : x
  2. Step 2: Convert to fraction form
    29,324.16/43,982.78 = 8,265.78/x
  3. Step 3: Cross multiply
    29,324.16x = 43,982.78 × 8,265.78
  4. Step 4: Simplify right side
    29,324.16x = 363,551,941.94
  5. Step 5: Solve for x
    x = 363,551,941.94/29,324.16
  6. Step 6: Final answer
    x = 12,397.69

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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.