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Finding the Fourth Proportional to 42,778.78, 59,015.08 and 27,676.31

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Solution

The fourth proportional to 42,778.78, 59,015.08 and 27,676.31 is: 38,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.78 : 59,015.08 = 27,676.31 : x
  2. Step 2: Convert to fraction form
    42,778.78/59,015.08 = 27,676.31/x
  3. Step 3: Cross multiply
    42,778.78x = 59,015.08 × 27,676.31
  4. Step 4: Simplify right side
    42,778.78x = 1,633,319,554.25
  5. Step 5: Solve for x
    x = 1,633,319,554.25/42,778.78
  6. Step 6: Final answer
    x = 38,180.60

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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.