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Finding the Fourth Proportional to 81,773.97, 112,851.28 and 45,963.87

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Solution

The fourth proportional to 81,773.97, 112,851.28 and 45,963.87 is: 63,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,773.97 : 112,851.28 = 45,963.87 : x
  2. Step 2: Convert to fraction form
    81,773.97/112,851.28 = 45,963.87/x
  3. Step 3: Cross multiply
    81,773.97x = 112,851.28 × 45,963.87
  4. Step 4: Simplify right side
    81,773.97x = 5,187,081,563.25
  5. Step 5: Solve for x
    x = 5,187,081,563.25/81,773.97
  6. Step 6: Final answer
    x = 63,431.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.