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Finding the Fourth Proportional to 77,411.60, 106,836.36 and 43,874

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Solution

The fourth proportional to 77,411.60, 106,836.36 and 43,874 is: 60,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.60 : 106,836.36 = 43,874 : x
  2. Step 2: Convert to fraction form
    77,411.60/106,836.36 = 43,874/x
  3. Step 3: Cross multiply
    77,411.60x = 106,836.36 × 43,874
  4. Step 4: Simplify right side
    77,411.60x = 4,687,338,458.64
  5. Step 5: Solve for x
    x = 4,687,338,458.64/77,411.60
  6. Step 6: Final answer
    x = 60,550.85

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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.