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Finding the Fourth Proportional to 31,024.38, 42,811.02 and 17,591.34

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Solution

The fourth proportional to 31,024.38, 42,811.02 and 17,591.34 is: 24,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.38 : 42,811.02 = 17,591.34 : x
  2. Step 2: Convert to fraction form
    31,024.38/42,811.02 = 17,591.34/x
  3. Step 3: Cross multiply
    31,024.38x = 42,811.02 × 17,591.34
  4. Step 4: Simplify right side
    31,024.38x = 753,103,208.57
  5. Step 5: Solve for x
    x = 753,103,208.57/31,024.38
  6. Step 6: Final answer
    x = 24,274.56

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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.