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Finding the Fourth Proportional to 54,455.51, 81,642.69 and 22,874.82

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Solution

The fourth proportional to 54,455.51, 81,642.69 and 22,874.82 is: 34,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,455.51 : 81,642.69 = 22,874.82 : x
  2. Step 2: Convert to fraction form
    54,455.51/81,642.69 = 22,874.82/x
  3. Step 3: Cross multiply
    54,455.51x = 81,642.69 × 22,874.82
  4. Step 4: Simplify right side
    54,455.51x = 1,867,561,838.07
  5. Step 5: Solve for x
    x = 1,867,561,838.07/54,455.51
  6. Step 6: Final answer
    x = 34,295.19

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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.