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Finding the Fourth Proportional to 110,867.50, 166,312.14 and 29,813.52

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Solution

The fourth proportional to 110,867.50, 166,312.14 and 29,813.52 is: 44,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,867.50 : 166,312.14 = 29,813.52 : x
  2. Step 2: Convert to fraction form
    110,867.50/166,312.14 = 29,813.52/x
  3. Step 3: Cross multiply
    110,867.50x = 166,312.14 × 29,813.52
  4. Step 4: Simplify right side
    110,867.50x = 4,958,350,568.07
  5. Step 5: Solve for x
    x = 4,958,350,568.07/110,867.50
  6. Step 6: Final answer
    x = 44,723.21

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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.