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Finding the Fourth Proportional to 78,039, 107,659.50 and 45,757.14

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Solution

The fourth proportional to 78,039, 107,659.50 and 45,757.14 is: 63,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039 : 107,659.50 = 45,757.14 : x
  2. Step 2: Convert to fraction form
    78,039/107,659.50 = 45,757.14/x
  3. Step 3: Cross multiply
    78,039x = 107,659.50 × 45,757.14
  4. Step 4: Simplify right side
    78,039x = 4,926,190,813.83
  5. Step 5: Solve for x
    x = 4,926,190,813.83/78,039
  6. Step 6: Final answer
    x = 63,124.73

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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.