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Finding the Fourth Proportional to 42,884.91, 59,168.37 and 27,753.60

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Solution

The fourth proportional to 42,884.91, 59,168.37 and 27,753.60 is: 38,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.91 : 59,168.37 = 27,753.60 : x
  2. Step 2: Convert to fraction form
    42,884.91/59,168.37 = 27,753.60/x
  3. Step 3: Cross multiply
    42,884.91x = 59,168.37 × 27,753.60
  4. Step 4: Simplify right side
    42,884.91x = 1,642,135,273.63
  5. Step 5: Solve for x
    x = 1,642,135,273.63/42,884.91
  6. Step 6: Final answer
    x = 38,291.68

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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.