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Finding the Fourth Proportional to 78,306.89, 117,377.93 and 49,865.46

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Solution

The fourth proportional to 78,306.89, 117,377.93 and 49,865.46 is: 74,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306.89 : 117,377.93 = 49,865.46 : x
  2. Step 2: Convert to fraction form
    78,306.89/117,377.93 = 49,865.46/x
  3. Step 3: Cross multiply
    78,306.89x = 117,377.93 × 49,865.46
  4. Step 4: Simplify right side
    78,306.89x = 5,853,104,517.42
  5. Step 5: Solve for x
    x = 5,853,104,517.42/78,306.89
  6. Step 6: Final answer
    x = 74,745.72

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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.