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Finding the Fourth Proportional to 42,843.77, 59,116.15 and 27,734.33

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Solution

The fourth proportional to 42,843.77, 59,116.15 and 27,734.33 is: 38,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,843.77 : 59,116.15 = 27,734.33 : x
  2. Step 2: Convert to fraction form
    42,843.77/59,116.15 = 27,734.33/x
  3. Step 3: Cross multiply
    42,843.77x = 59,116.15 × 27,734.33
  4. Step 4: Simplify right side
    42,843.77x = 1,639,546,812.43
  5. Step 5: Solve for x
    x = 1,639,546,812.43/42,843.77
  6. Step 6: Final answer
    x = 38,268.03

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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.