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Finding the Fourth Proportional to 31,860.72, 47,805.66 and 12,143.70

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Solution

The fourth proportional to 31,860.72, 47,805.66 and 12,143.70 is: 18,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.72 : 47,805.66 = 12,143.70 : x
  2. Step 2: Convert to fraction form
    31,860.72/47,805.66 = 12,143.70/x
  3. Step 3: Cross multiply
    31,860.72x = 47,805.66 × 12,143.70
  4. Step 4: Simplify right side
    31,860.72x = 580,537,593.34
  5. Step 5: Solve for x
    x = 580,537,593.34/31,860.72
  6. Step 6: Final answer
    x = 18,221.11

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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.