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Finding the Fourth Proportional to 27,832.25, 38,414.16 and 25,590.57

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Solution

The fourth proportional to 27,832.25, 38,414.16 and 25,590.57 is: 35,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.25 : 38,414.16 = 25,590.57 : x
  2. Step 2: Convert to fraction form
    27,832.25/38,414.16 = 25,590.57/x
  3. Step 3: Cross multiply
    27,832.25x = 38,414.16 × 25,590.57
  4. Step 4: Simplify right side
    27,832.25x = 983,040,250.47
  5. Step 5: Solve for x
    x = 983,040,250.47/27,832.25
  6. Step 6: Final answer
    x = 35,320.19

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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.