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Finding the Fourth Proportional to 36,496.10, 54,744.15 and 10,200.80

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Solution

The fourth proportional to 36,496.10, 54,744.15 and 10,200.80 is: 15,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,496.10 : 54,744.15 = 10,200.80 : x
  2. Step 2: Convert to fraction form
    36,496.10/54,744.15 = 10,200.80/x
  3. Step 3: Cross multiply
    36,496.10x = 54,744.15 × 10,200.80
  4. Step 4: Simplify right side
    36,496.10x = 558,434,125.32
  5. Step 5: Solve for x
    x = 558,434,125.32/36,496.10
  6. Step 6: Final answer
    x = 15,301.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.