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Finding the Fourth Proportional to 54,074, 81,110.64 and 14,635.16

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Solution

The fourth proportional to 54,074, 81,110.64 and 14,635.16 is: 21,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,074 : 81,110.64 = 14,635.16 : x
  2. Step 2: Convert to fraction form
    54,074/81,110.64 = 14,635.16/x
  3. Step 3: Cross multiply
    54,074x = 81,110.64 × 14,635.16
  4. Step 4: Simplify right side
    54,074x = 1,187,067,194.10
  5. Step 5: Solve for x
    x = 1,187,067,194.10/54,074
  6. Step 6: Final answer
    x = 21,952.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.