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Finding the Fourth Proportional to 31,796.14, 47,694.17 and 12,074.66

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Solution

The fourth proportional to 31,796.14, 47,694.17 and 12,074.66 is: 18,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.14 : 47,694.17 = 12,074.66 : x
  2. Step 2: Convert to fraction form
    31,796.14/47,694.17 = 12,074.66/x
  3. Step 3: Cross multiply
    31,796.14x = 47,694.17 × 12,074.66
  4. Step 4: Simplify right side
    31,796.14x = 575,891,036.15
  5. Step 5: Solve for x
    x = 575,891,036.15/31,796.14
  6. Step 6: Final answer
    x = 18,111.98

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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.