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Finding the Fourth Proportional to 107,469.90, 161,206.20 and 32,590.80

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Solution

The fourth proportional to 107,469.90, 161,206.20 and 32,590.80 is: 48,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,469.90 : 161,206.20 = 32,590.80 : x
  2. Step 2: Convert to fraction form
    107,469.90/161,206.20 = 32,590.80/x
  3. Step 3: Cross multiply
    107,469.90x = 161,206.20 × 32,590.80
  4. Step 4: Simplify right side
    107,469.90x = 5,253,839,022.96
  5. Step 5: Solve for x
    x = 5,253,839,022.96/107,469.90
  6. Step 6: Final answer
    x = 48,886.61

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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.