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Finding the Fourth Proportional to 37,769.36, 52,121.04 and 21,002

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Solution

The fourth proportional to 37,769.36, 52,121.04 and 21,002 is: 28,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769.36 : 52,121.04 = 21,002 : x
  2. Step 2: Convert to fraction form
    37,769.36/52,121.04 = 21,002/x
  3. Step 3: Cross multiply
    37,769.36x = 52,121.04 × 21,002
  4. Step 4: Simplify right side
    37,769.36x = 1,094,646,082.08
  5. Step 5: Solve for x
    x = 1,094,646,082.08/37,769.36
  6. Step 6: Final answer
    x = 28,982.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.