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Finding the Fourth Proportional to 38,044.57, 52,427.49 and 27,414.13

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Solution

The fourth proportional to 38,044.57, 52,427.49 and 27,414.13 is: 37,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044.57 : 52,427.49 = 27,414.13 : x
  2. Step 2: Convert to fraction form
    38,044.57/52,427.49 = 27,414.13/x
  3. Step 3: Cross multiply
    38,044.57x = 52,427.49 × 27,414.13
  4. Step 4: Simplify right side
    38,044.57x = 1,437,254,026.43
  5. Step 5: Solve for x
    x = 1,437,254,026.43/38,044.57
  6. Step 6: Final answer
    x = 37,778.16

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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.