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Finding the Fourth Proportional to 76,626.39, 105,684.50 and 49,777.56

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Solution

The fourth proportional to 76,626.39, 105,684.50 and 49,777.56 is: 68,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,626.39 : 105,684.50 = 49,777.56 : x
  2. Step 2: Convert to fraction form
    76,626.39/105,684.50 = 49,777.56/x
  3. Step 3: Cross multiply
    76,626.39x = 105,684.50 × 49,777.56
  4. Step 4: Simplify right side
    76,626.39x = 5,260,716,290.93
  5. Step 5: Solve for x
    x = 5,260,716,290.93/76,626.39
  6. Step 6: Final answer
    x = 68,654.11

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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.