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Finding the Fourth Proportional to 31,596.38, 47,394.42 and 8,222.78

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Solution

The fourth proportional to 31,596.38, 47,394.42 and 8,222.78 is: 12,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.38 : 47,394.42 = 8,222.78 : x
  2. Step 2: Convert to fraction form
    31,596.38/47,394.42 = 8,222.78/x
  3. Step 3: Cross multiply
    31,596.38x = 47,394.42 × 8,222.78
  4. Step 4: Simplify right side
    31,596.38x = 389,713,888.89
  5. Step 5: Solve for x
    x = 389,713,888.89/31,596.38
  6. Step 6: Final answer
    x = 12,334.13

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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.