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Finding the Fourth Proportional to 78,121.75, 107,806 and 44,133.75

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Solution

The fourth proportional to 78,121.75, 107,806 and 44,133.75 is: 60,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.75 : 107,806 = 44,133.75 : x
  2. Step 2: Convert to fraction form
    78,121.75/107,806 = 44,133.75/x
  3. Step 3: Cross multiply
    78,121.75x = 107,806 × 44,133.75
  4. Step 4: Simplify right side
    78,121.75x = 4,757,883,052.50
  5. Step 5: Solve for x
    x = 4,757,883,052.50/78,121.75
  6. Step 6: Final answer
    x = 60,903.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.