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Finding the Fourth Proportional to 76,541, 105,589.78 and 49,691.93

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Solution

The fourth proportional to 76,541, 105,589.78 and 49,691.93 is: 68,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,541 : 105,589.78 = 49,691.93 : x
  2. Step 2: Convert to fraction form
    76,541/105,589.78 = 49,691.93/x
  3. Step 3: Cross multiply
    76,541x = 105,589.78 × 49,691.93
  4. Step 4: Simplify right side
    76,541x = 5,246,959,708.02
  5. Step 5: Solve for x
    x = 5,246,959,708.02/76,541
  6. Step 6: Final answer
    x = 68,550.97

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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.