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Finding the Fourth Proportional to 132,327, 198,490.50 and 33,831

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Solution

The fourth proportional to 132,327, 198,490.50 and 33,831 is: 50,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,327 : 198,490.50 = 33,831 : x
  2. Step 2: Convert to fraction form
    132,327/198,490.50 = 33,831/x
  3. Step 3: Cross multiply
    132,327x = 198,490.50 × 33,831
  4. Step 4: Simplify right side
    132,327x = 6,715,132,105.50
  5. Step 5: Solve for x
    x = 6,715,132,105.50/132,327
  6. Step 6: Final answer
    x = 50,746.50

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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.