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Finding the Fourth Proportional to 43,022, 59,344.62 and 27,078.78

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Solution

The fourth proportional to 43,022, 59,344.62 and 27,078.78 is: 37,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,022 : 59,344.62 = 27,078.78 : x
  2. Step 2: Convert to fraction form
    43,022/59,344.62 = 27,078.78/x
  3. Step 3: Cross multiply
    43,022x = 59,344.62 × 27,078.78
  4. Step 4: Simplify right side
    43,022x = 1,606,979,909.16
  5. Step 5: Solve for x
    x = 1,606,979,909.16/43,022
  6. Step 6: Final answer
    x = 37,352.52

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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.