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Finding the Fourth Proportional to 50,600, 75,909.72 and 22,898

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Solution

The fourth proportional to 50,600, 75,909.72 and 22,898 is: 34,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,600 : 75,909.72 = 22,898 : x
  2. Step 2: Convert to fraction form
    50,600/75,909.72 = 22,898/x
  3. Step 3: Cross multiply
    50,600x = 75,909.72 × 22,898
  4. Step 4: Simplify right side
    50,600x = 1,738,180,768.56
  5. Step 5: Solve for x
    x = 1,738,180,768.56/50,600
  6. Step 6: Final answer
    x = 34,351.40

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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.