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Finding the Fourth Proportional to 34,788.38, 48,026.57 and 27,218.63

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Solution

The fourth proportional to 34,788.38, 48,026.57 and 27,218.63 is: 37,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,788.38 : 48,026.57 = 27,218.63 : x
  2. Step 2: Convert to fraction form
    34,788.38/48,026.57 = 27,218.63/x
  3. Step 3: Cross multiply
    34,788.38x = 48,026.57 × 27,218.63
  4. Step 4: Simplify right side
    34,788.38x = 1,307,217,198.87
  5. Step 5: Solve for x
    x = 1,307,217,198.87/34,788.38
  6. Step 6: Final answer
    x = 37,576.26

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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.