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Finding the Fourth Proportional to 31,524.92, 43,504.35 and 17,378

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Solution

The fourth proportional to 31,524.92, 43,504.35 and 17,378 is: 23,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.92 : 43,504.35 = 17,378 : x
  2. Step 2: Convert to fraction form
    31,524.92/43,504.35 = 17,378/x
  3. Step 3: Cross multiply
    31,524.92x = 43,504.35 × 17,378
  4. Step 4: Simplify right side
    31,524.92x = 756,018,594.30
  5. Step 5: Solve for x
    x = 756,018,594.30/31,524.92
  6. Step 6: Final answer
    x = 23,981.62

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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.