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Finding the Fourth Proportional to 31,846.38, 47,759.04 and 10,780.74

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Solution

The fourth proportional to 31,846.38, 47,759.04 and 10,780.74 is: 16,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.38 : 47,759.04 = 10,780.74 : x
  2. Step 2: Convert to fraction form
    31,846.38/47,759.04 = 10,780.74/x
  3. Step 3: Cross multiply
    31,846.38x = 47,759.04 × 10,780.74
  4. Step 4: Simplify right side
    31,846.38x = 514,877,792.89
  5. Step 5: Solve for x
    x = 514,877,792.89/31,846.38
  6. Step 6: Final answer
    x = 16,167.55

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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.