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Finding the Fourth Proportional to 38,194.92, 57,291.50 and 22,499.52

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Solution

The fourth proportional to 38,194.92, 57,291.50 and 22,499.52 is: 33,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.92 : 57,291.50 = 22,499.52 : x
  2. Step 2: Convert to fraction form
    38,194.92/57,291.50 = 22,499.52/x
  3. Step 3: Cross multiply
    38,194.92x = 57,291.50 × 22,499.52
  4. Step 4: Simplify right side
    38,194.92x = 1,289,031,250.08
  5. Step 5: Solve for x
    x = 1,289,031,250.08/38,194.92
  6. Step 6: Final answer
    x = 33,748.76

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