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Finding the Fourth Proportional to 31,910.90, 47,865.47 and 9,723.38

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Solution

The fourth proportional to 31,910.90, 47,865.47 and 9,723.38 is: 14,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.90 : 47,865.47 = 9,723.38 : x
  2. Step 2: Convert to fraction form
    31,910.90/47,865.47 = 9,723.38/x
  3. Step 3: Cross multiply
    31,910.90x = 47,865.47 × 9,723.38
  4. Step 4: Simplify right side
    31,910.90x = 465,413,865.74
  5. Step 5: Solve for x
    x = 465,413,865.74/31,910.90
  6. Step 6: Final answer
    x = 14,584.80

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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.