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Finding the Fourth Proportional to 107,706.30, 161,566.65 and 36,627.90

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Solution

The fourth proportional to 107,706.30, 161,566.65 and 36,627.90 is: 54,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.30 : 161,566.65 = 36,627.90 : x
  2. Step 2: Convert to fraction form
    107,706.30/161,566.65 = 36,627.90/x
  3. Step 3: Cross multiply
    107,706.30x = 161,566.65 × 36,627.90
  4. Step 4: Simplify right side
    107,706.30x = 5,917,847,099.54
  5. Step 5: Solve for x
    x = 5,917,847,099.54/107,706.30
  6. Step 6: Final answer
    x = 54,944.30

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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.