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Finding the Fourth Proportional to 31,524.31, 43,503.84 and 17,377.66

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Solution

The fourth proportional to 31,524.31, 43,503.84 and 17,377.66 is: 23,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.31 : 43,503.84 = 17,377.66 : x
  2. Step 2: Convert to fraction form
    31,524.31/43,503.84 = 17,377.66/x
  3. Step 3: Cross multiply
    31,524.31x = 43,503.84 × 17,377.66
  4. Step 4: Simplify right side
    31,524.31x = 755,994,722.70
  5. Step 5: Solve for x
    x = 755,994,722.70/31,524.31
  6. Step 6: Final answer
    x = 23,981.33

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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.