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Finding the Fourth Proportional to 29,936.38, 41,314.07 and 16,507.60

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Solution

The fourth proportional to 29,936.38, 41,314.07 and 16,507.60 is: 22,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,936.38 : 41,314.07 = 16,507.60 : x
  2. Step 2: Convert to fraction form
    29,936.38/41,314.07 = 16,507.60/x
  3. Step 3: Cross multiply
    29,936.38x = 41,314.07 × 16,507.60
  4. Step 4: Simplify right side
    29,936.38x = 681,996,141.93
  5. Step 5: Solve for x
    x = 681,996,141.93/29,936.38
  6. Step 6: Final answer
    x = 22,781.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.