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Finding the Fourth Proportional to 31,713, 47,586.99 and 17,680.91

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Solution

The fourth proportional to 31,713, 47,586.99 and 17,680.91 is: 26,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713 : 47,586.99 = 17,680.91 : x
  2. Step 2: Convert to fraction form
    31,713/47,586.99 = 17,680.91/x
  3. Step 3: Cross multiply
    31,713x = 47,586.99 × 17,680.91
  4. Step 4: Simplify right side
    31,713x = 841,381,049.43
  5. Step 5: Solve for x
    x = 841,381,049.43/31,713
  6. Step 6: Final answer
    x = 26,531.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.