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Finding the Fourth Proportional to 89,199.30, 133,801.77 and 33,053.46

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Solution

The fourth proportional to 89,199.30, 133,801.77 and 33,053.46 is: 49,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,199.30 : 133,801.77 = 33,053.46 : x
  2. Step 2: Convert to fraction form
    89,199.30/133,801.77 = 33,053.46/x
  3. Step 3: Cross multiply
    89,199.30x = 133,801.77 × 33,053.46
  4. Step 4: Simplify right side
    89,199.30x = 4,422,611,452.62
  5. Step 5: Solve for x
    x = 4,422,611,452.62/89,199.30
  6. Step 6: Final answer
    x = 49,581.23

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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.