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Finding the Fourth Proportional to 99,645.15, 149,473.80 and 33,091.11

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Solution

The fourth proportional to 99,645.15, 149,473.80 and 33,091.11 is: 49,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645.15 : 149,473.80 = 33,091.11 : x
  2. Step 2: Convert to fraction form
    99,645.15/149,473.80 = 33,091.11/x
  3. Step 3: Cross multiply
    99,645.15x = 149,473.80 × 33,091.11
  4. Step 4: Simplify right side
    99,645.15x = 4,946,253,957.92
  5. Step 5: Solve for x
    x = 4,946,253,957.92/99,645.15
  6. Step 6: Final answer
    x = 49,638.68

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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.