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Finding the Fourth Proportional to 31,938, 44,102.34 and 20,021.88

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Solution

The fourth proportional to 31,938, 44,102.34 and 20,021.88 is: 27,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938 : 44,102.34 = 20,021.88 : x
  2. Step 2: Convert to fraction form
    31,938/44,102.34 = 20,021.88/x
  3. Step 3: Cross multiply
    31,938x = 44,102.34 × 20,021.88
  4. Step 4: Simplify right side
    31,938x = 883,011,759.20
  5. Step 5: Solve for x
    x = 883,011,759.20/31,938
  6. Step 6: Final answer
    x = 27,647.68

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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.