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Finding the Fourth Proportional to 31,658.65, 43,687.01 and 17,315.78

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Solution

The fourth proportional to 31,658.65, 43,687.01 and 17,315.78 is: 23,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.65 : 43,687.01 = 17,315.78 : x
  2. Step 2: Convert to fraction form
    31,658.65/43,687.01 = 17,315.78/x
  3. Step 3: Cross multiply
    31,658.65x = 43,687.01 × 17,315.78
  4. Step 4: Simplify right side
    31,658.65x = 756,474,478.87
  5. Step 5: Solve for x
    x = 756,474,478.87/31,658.65
  6. Step 6: Final answer
    x = 23,894.72

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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.