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Finding the Fourth Proportional to 121,358, 182,067.72 and 33,806

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Solution

The fourth proportional to 121,358, 182,067.72 and 33,806 is: 50,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,358 : 182,067.72 = 33,806 : x
  2. Step 2: Convert to fraction form
    121,358/182,067.72 = 33,806/x
  3. Step 3: Cross multiply
    121,358x = 182,067.72 × 33,806
  4. Step 4: Simplify right side
    121,358x = 6,154,981,342.32
  5. Step 5: Solve for x
    x = 6,154,981,342.32/121,358
  6. Step 6: Final answer
    x = 50,717.56

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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.