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Finding the Fourth Proportional to 29,713, 44,569.50 and 8,936.52

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Solution

The fourth proportional to 29,713, 44,569.50 and 8,936.52 is: 13,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713 : 44,569.50 = 8,936.52 : x
  2. Step 2: Convert to fraction form
    29,713/44,569.50 = 8,936.52/x
  3. Step 3: Cross multiply
    29,713x = 44,569.50 × 8,936.52
  4. Step 4: Simplify right side
    29,713x = 398,296,228.14
  5. Step 5: Solve for x
    x = 398,296,228.14/29,713
  6. Step 6: Final answer
    x = 13,404.78

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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.