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Finding the Fourth Proportional to 29,631, 44,446.56 and 7,743

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Solution

The fourth proportional to 29,631, 44,446.56 and 7,743 is: 11,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,631 : 44,446.56 = 7,743 : x
  2. Step 2: Convert to fraction form
    29,631/44,446.56 = 7,743/x
  3. Step 3: Cross multiply
    29,631x = 44,446.56 × 7,743
  4. Step 4: Simplify right side
    29,631x = 344,149,714.08
  5. Step 5: Solve for x
    x = 344,149,714.08/29,631
  6. Step 6: Final answer
    x = 11,614.52

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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.