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Finding the Fourth Proportional to 99,358.97, 149,006.84 and 32,786.69

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Solution

The fourth proportional to 99,358.97, 149,006.84 and 32,786.69 is: 49,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,358.97 : 149,006.84 = 32,786.69 : x
  2. Step 2: Convert to fraction form
    99,358.97/149,006.84 = 32,786.69/x
  3. Step 3: Cross multiply
    99,358.97x = 149,006.84 × 32,786.69
  4. Step 4: Simplify right side
    99,358.97x = 4,885,440,161.99
  5. Step 5: Solve for x
    x = 4,885,440,161.99/99,358.97
  6. Step 6: Final answer
    x = 49,169.60

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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.