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Finding the Fourth Proportional to 42,832.26, 59,135.31 and 27,525

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Solution

The fourth proportional to 42,832.26, 59,135.31 and 27,525 is: 38,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832.26 : 59,135.31 = 27,525 : x
  2. Step 2: Convert to fraction form
    42,832.26/59,135.31 = 27,525/x
  3. Step 3: Cross multiply
    42,832.26x = 59,135.31 × 27,525
  4. Step 4: Simplify right side
    42,832.26x = 1,627,699,407.75
  5. Step 5: Solve for x
    x = 1,627,699,407.75/42,832.26
  6. Step 6: Final answer
    x = 38,001.72

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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.