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Finding the Fourth Proportional to 25,914.33, 38,648.34 and 25,447.77

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Solution

The fourth proportional to 25,914.33, 38,648.34 and 25,447.77 is: 37,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.33 : 38,648.34 = 25,447.77 : x
  2. Step 2: Convert to fraction form
    25,914.33/38,648.34 = 25,447.77/x
  3. Step 3: Cross multiply
    25,914.33x = 38,648.34 × 25,447.77
  4. Step 4: Simplify right side
    25,914.33x = 983,514,067.20
  5. Step 5: Solve for x
    x = 983,514,067.20/25,914.33
  6. Step 6: Final answer
    x = 37,952.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.