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Finding the Fourth Proportional to 31,854.22, 47,781.06 and 8,161.72

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Solution

The fourth proportional to 31,854.22, 47,781.06 and 8,161.72 is: 12,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.22 : 47,781.06 = 8,161.72 : x
  2. Step 2: Convert to fraction form
    31,854.22/47,781.06 = 8,161.72/x
  3. Step 3: Cross multiply
    31,854.22x = 47,781.06 × 8,161.72
  4. Step 4: Simplify right side
    31,854.22x = 389,975,633.02
  5. Step 5: Solve for x
    x = 389,975,633.02/31,854.22
  6. Step 6: Final answer
    x = 12,242.51

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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.