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Finding the Fourth Proportional to 42,843.52, 59,115.81 and 27,734.08

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Solution

The fourth proportional to 42,843.52, 59,115.81 and 27,734.08 is: 38,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,843.52 : 59,115.81 = 27,734.08 : x
  2. Step 2: Convert to fraction form
    42,843.52/59,115.81 = 27,734.08/x
  3. Step 3: Cross multiply
    42,843.52x = 59,115.81 × 27,734.08
  4. Step 4: Simplify right side
    42,843.52x = 1,639,522,603.80
  5. Step 5: Solve for x
    x = 1,639,522,603.80/42,843.52
  6. Step 6: Final answer
    x = 38,267.69

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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.