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Finding the Fourth Proportional to 45,344.64, 67,924.80 and 29,769.60

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Solution

The fourth proportional to 45,344.64, 67,924.80 and 29,769.60 is: 44,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,344.64 : 67,924.80 = 29,769.60 : x
  2. Step 2: Convert to fraction form
    45,344.64/67,924.80 = 29,769.60/x
  3. Step 3: Cross multiply
    45,344.64x = 67,924.80 × 29,769.60
  4. Step 4: Simplify right side
    45,344.64x = 2,022,094,126.08
  5. Step 5: Solve for x
    x = 2,022,094,126.08/45,344.64
  6. Step 6: Final answer
    x = 44,593.90

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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.