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Finding the Fourth Proportional to 69,870, 96,426.36 and 40,067.76

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Solution

The fourth proportional to 69,870, 96,426.36 and 40,067.76 is: 55,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,870 : 96,426.36 = 40,067.76 : x
  2. Step 2: Convert to fraction form
    69,870/96,426.36 = 40,067.76/x
  3. Step 3: Cross multiply
    69,870x = 96,426.36 × 40,067.76
  4. Step 4: Simplify right side
    69,870x = 3,863,588,250.15
  5. Step 5: Solve for x
    x = 3,863,588,250.15/69,870
  6. Step 6: Final answer
    x = 55,296.81

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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.