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Finding the Fourth Proportional to 36,157.16, 54,274.08 and 32,024

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Solution

The fourth proportional to 36,157.16, 54,274.08 and 32,024 is: 48,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,157.16 : 54,274.08 = 32,024 : x
  2. Step 2: Convert to fraction form
    36,157.16/54,274.08 = 32,024/x
  3. Step 3: Cross multiply
    36,157.16x = 54,274.08 × 32,024
  4. Step 4: Simplify right side
    36,157.16x = 1,738,073,137.92
  5. Step 5: Solve for x
    x = 1,738,073,137.92/36,157.16
  6. Step 6: Final answer
    x = 48,069.96

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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.