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Finding the Fourth Proportional to 38,249.34, 57,290.91 and 18,486.44

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Solution

The fourth proportional to 38,249.34, 57,290.91 and 18,486.44 is: 27,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249.34 : 57,290.91 = 18,486.44 : x
  2. Step 2: Convert to fraction form
    38,249.34/57,290.91 = 18,486.44/x
  3. Step 3: Cross multiply
    38,249.34x = 57,290.91 × 18,486.44
  4. Step 4: Simplify right side
    38,249.34x = 1,059,104,970.26
  5. Step 5: Solve for x
    x = 1,059,104,970.26/38,249.34
  6. Step 6: Final answer
    x = 27,689.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.