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Finding the Fourth Proportional to 38,857.82, 53,645.91 and 25,648.22

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Solution

The fourth proportional to 38,857.82, 53,645.91 and 25,648.22 is: 35,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.82 : 53,645.91 = 25,648.22 : x
  2. Step 2: Convert to fraction form
    38,857.82/53,645.91 = 25,648.22/x
  3. Step 3: Cross multiply
    38,857.82x = 53,645.91 × 25,648.22
  4. Step 4: Simplify right side
    38,857.82x = 1,375,922,101.78
  5. Step 5: Solve for x
    x = 1,375,922,101.78/38,857.82
  6. Step 6: Final answer
    x = 35,409.14

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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.