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Finding the Fourth Proportional to 78,222.60, 107,907.45 and 49,493.85

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Solution

The fourth proportional to 78,222.60, 107,907.45 and 49,493.85 is: 68,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.60 : 107,907.45 = 49,493.85 : x
  2. Step 2: Convert to fraction form
    78,222.60/107,907.45 = 49,493.85/x
  3. Step 3: Cross multiply
    78,222.60x = 107,907.45 × 49,493.85
  4. Step 4: Simplify right side
    78,222.60x = 5,340,755,144.18
  5. Step 5: Solve for x
    x = 5,340,755,144.18/78,222.60
  6. Step 6: Final answer
    x = 68,276.37

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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.