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Finding the Fourth Proportional to 38,536.92, 53,182.49 and 22,404.15

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Solution

The fourth proportional to 38,536.92, 53,182.49 and 22,404.15 is: 30,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.92 : 53,182.49 = 22,404.15 : x
  2. Step 2: Convert to fraction form
    38,536.92/53,182.49 = 22,404.15/x
  3. Step 3: Cross multiply
    38,536.92x = 53,182.49 × 22,404.15
  4. Step 4: Simplify right side
    38,536.92x = 1,191,508,273.43
  5. Step 5: Solve for x
    x = 1,191,508,273.43/38,536.92
  6. Step 6: Final answer
    x = 30,918.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.