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Finding the Fourth Proportional to 31,595.85, 43,600.30 and 17,449

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Solution

The fourth proportional to 31,595.85, 43,600.30 and 17,449 is: 24,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.85 : 43,600.30 = 17,449 : x
  2. Step 2: Convert to fraction form
    31,595.85/43,600.30 = 17,449/x
  3. Step 3: Cross multiply
    31,595.85x = 43,600.30 × 17,449
  4. Step 4: Simplify right side
    31,595.85x = 760,781,634.70
  5. Step 5: Solve for x
    x = 760,781,634.70/31,595.85
  6. Step 6: Final answer
    x = 24,078.53

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