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Finding the Fourth Proportional to 31,375.66, 47,068.22 and 9,186.25

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Solution

The fourth proportional to 31,375.66, 47,068.22 and 9,186.25 is: 13,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.66 : 47,068.22 = 9,186.25 : x
  2. Step 2: Convert to fraction form
    31,375.66/47,068.22 = 9,186.25/x
  3. Step 3: Cross multiply
    31,375.66x = 47,068.22 × 9,186.25
  4. Step 4: Simplify right side
    31,375.66x = 432,380,435.98
  5. Step 5: Solve for x
    x = 432,380,435.98/31,375.66
  6. Step 6: Final answer
    x = 13,780.76

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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.