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Finding the Fourth Proportional to 31,862.93, 47,794.85 and 12,142.57

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Solution

The fourth proportional to 31,862.93, 47,794.85 and 12,142.57 is: 18,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.93 : 47,794.85 = 12,142.57 : x
  2. Step 2: Convert to fraction form
    31,862.93/47,794.85 = 12,142.57/x
  3. Step 3: Cross multiply
    31,862.93x = 47,794.85 × 12,142.57
  4. Step 4: Simplify right side
    31,862.93x = 580,352,311.76
  5. Step 5: Solve for x
    x = 580,352,311.76/31,862.93
  6. Step 6: Final answer
    x = 18,214.03

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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.