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Finding the Fourth Proportional to 50,221, 75,357.42 and 25,597

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Solution

The fourth proportional to 50,221, 75,357.42 and 25,597 is: 38,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221 : 75,357.42 = 25,597 : x
  2. Step 2: Convert to fraction form
    50,221/75,357.42 = 25,597/x
  3. Step 3: Cross multiply
    50,221x = 75,357.42 × 25,597
  4. Step 4: Simplify right side
    50,221x = 1,928,923,879.74
  5. Step 5: Solve for x
    x = 1,928,923,879.74/50,221
  6. Step 6: Final answer
    x = 38,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.