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Finding the Fourth Proportional to 31,382.78, 47,080.66 and 9,196.88

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Solution

The fourth proportional to 31,382.78, 47,080.66 and 9,196.88 is: 13,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.78 : 47,080.66 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    31,382.78/47,080.66 = 9,196.88/x
  3. Step 3: Cross multiply
    31,382.78x = 47,080.66 × 9,196.88
  4. Step 4: Simplify right side
    31,382.78x = 432,995,180.34
  5. Step 5: Solve for x
    x = 432,995,180.34/31,382.78
  6. Step 6: Final answer
    x = 13,797.22

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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.