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Finding the Fourth Proportional to 110,382.75, 165,575.72 and 31,496.98

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Solution

The fourth proportional to 110,382.75, 165,575.72 and 31,496.98 is: 47,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,382.75 : 165,575.72 = 31,496.98 : x
  2. Step 2: Convert to fraction form
    110,382.75/165,575.72 = 31,496.98/x
  3. Step 3: Cross multiply
    110,382.75x = 165,575.72 × 31,496.98
  4. Step 4: Simplify right side
    110,382.75x = 5,215,134,562.32
  5. Step 5: Solve for x
    x = 5,215,134,562.32/110,382.75
  6. Step 6: Final answer
    x = 47,245.92

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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.