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Finding the Fourth Proportional to 109,740.60, 164,593.72 and 34,850.88

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Solution

The fourth proportional to 109,740.60, 164,593.72 and 34,850.88 is: 52,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740.60 : 164,593.72 = 34,850.88 : x
  2. Step 2: Convert to fraction form
    109,740.60/164,593.72 = 34,850.88/x
  3. Step 3: Cross multiply
    109,740.60x = 164,593.72 × 34,850.88
  4. Step 4: Simplify right side
    109,740.60x = 5,736,235,984.47
  5. Step 5: Solve for x
    x = 5,736,235,984.47/109,740.60
  6. Step 6: Final answer
    x = 52,270.87

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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.