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Finding the Fourth Proportional to 96,044.50, 144,067.56 and 33,715

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Solution

The fourth proportional to 96,044.50, 144,067.56 and 33,715 is: 50,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,044.50 : 144,067.56 = 33,715 : x
  2. Step 2: Convert to fraction form
    96,044.50/144,067.56 = 33,715/x
  3. Step 3: Cross multiply
    96,044.50x = 144,067.56 × 33,715
  4. Step 4: Simplify right side
    96,044.50x = 4,857,237,785.40
  5. Step 5: Solve for x
    x = 4,857,237,785.40/96,044.50
  6. Step 6: Final answer
    x = 50,572.78

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1.5x scale

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.