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Finding the Fourth Proportional to 50,434.60, 75,616.86 and 22,339.34

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Solution

The fourth proportional to 50,434.60, 75,616.86 and 22,339.34 is: 33,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,434.60 : 75,616.86 = 22,339.34 : x
  2. Step 2: Convert to fraction form
    50,434.60/75,616.86 = 22,339.34/x
  3. Step 3: Cross multiply
    50,434.60x = 75,616.86 × 22,339.34
  4. Step 4: Simplify right side
    50,434.60x = 1,689,230,745.27
  5. Step 5: Solve for x
    x = 1,689,230,745.27/50,434.60
  6. Step 6: Final answer
    x = 33,493.49

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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.