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Finding the Fourth Proportional to 36,409.66, 54,614.50 and 10,114.42

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Solution

The fourth proportional to 36,409.66, 54,614.50 and 10,114.42 is: 15,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.66 : 54,614.50 = 10,114.42 : x
  2. Step 2: Convert to fraction form
    36,409.66/54,614.50 = 10,114.42/x
  3. Step 3: Cross multiply
    36,409.66x = 54,614.50 × 10,114.42
  4. Step 4: Simplify right side
    36,409.66x = 552,393,991.09
  5. Step 5: Solve for x
    x = 552,393,991.09/36,409.66
  6. Step 6: Final answer
    x = 15,171.63

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1.5x scale

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.