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Finding the Fourth Proportional to 96,645.50, 144,933.50 and 33,448.48

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Solution

The fourth proportional to 96,645.50, 144,933.50 and 33,448.48 is: 50,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,645.50 : 144,933.50 = 33,448.48 : x
  2. Step 2: Convert to fraction form
    96,645.50/144,933.50 = 33,448.48/x
  3. Step 3: Cross multiply
    96,645.50x = 144,933.50 × 33,448.48
  4. Step 4: Simplify right side
    96,645.50x = 4,847,804,997.37
  5. Step 5: Solve for x
    x = 4,847,804,997.37/96,645.50
  6. Step 6: Final answer
    x = 50,160.69

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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.