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Finding the Fourth Proportional to 31,854.62, 47,780.82 and 8,162.36

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Solution

The fourth proportional to 31,854.62, 47,780.82 and 8,162.36 is: 12,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.62 : 47,780.82 = 8,162.36 : x
  2. Step 2: Convert to fraction form
    31,854.62/47,780.82 = 8,162.36/x
  3. Step 3: Cross multiply
    31,854.62x = 47,780.82 × 8,162.36
  4. Step 4: Simplify right side
    31,854.62x = 390,004,109.80
  5. Step 5: Solve for x
    x = 390,004,109.80/31,854.62
  6. Step 6: Final answer
    x = 12,243.25

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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.