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Finding the Fourth Proportional to 31,249.60, 43,123.39 and 17,102.14

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Solution

The fourth proportional to 31,249.60, 43,123.39 and 17,102.14 is: 23,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.60 : 43,123.39 = 17,102.14 : x
  2. Step 2: Convert to fraction form
    31,249.60/43,123.39 = 17,102.14/x
  3. Step 3: Cross multiply
    31,249.60x = 43,123.39 × 17,102.14
  4. Step 4: Simplify right side
    31,249.60x = 737,502,102.49
  5. Step 5: Solve for x
    x = 737,502,102.49/31,249.60
  6. Step 6: Final answer
    x = 23,600.37

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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.