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Finding the Fourth Proportional to 29,833.76, 44,747.76 and 9,057.44

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Solution

The fourth proportional to 29,833.76, 44,747.76 and 9,057.44 is: 13,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.76 : 44,747.76 = 9,057.44 : x
  2. Step 2: Convert to fraction form
    29,833.76/44,747.76 = 9,057.44/x
  3. Step 3: Cross multiply
    29,833.76x = 44,747.76 × 9,057.44
  4. Step 4: Simplify right side
    29,833.76x = 405,300,151.33
  5. Step 5: Solve for x
    x = 405,300,151.33/29,833.76
  6. Step 6: Final answer
    x = 13,585.29

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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.