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Finding the Fourth Proportional to 27,682.96, 38,125.38 and 25,904.20

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Solution

The fourth proportional to 27,682.96, 38,125.38 and 25,904.20 is: 35,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.96 : 38,125.38 = 25,904.20 : x
  2. Step 2: Convert to fraction form
    27,682.96/38,125.38 = 25,904.20/x
  3. Step 3: Cross multiply
    27,682.96x = 38,125.38 × 25,904.20
  4. Step 4: Simplify right side
    27,682.96x = 987,607,468.60
  5. Step 5: Solve for x
    x = 987,607,468.60/27,682.96
  6. Step 6: Final answer
    x = 35,675.65

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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.