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Finding the Fourth Proportional to 37,016, 51,082.08 and 20,249.36

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Solution

The fourth proportional to 37,016, 51,082.08 and 20,249.36 is: 27,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016 : 51,082.08 = 20,249.36 : x
  2. Step 2: Convert to fraction form
    37,016/51,082.08 = 20,249.36/x
  3. Step 3: Cross multiply
    37,016x = 51,082.08 × 20,249.36
  4. Step 4: Simplify right side
    37,016x = 1,034,379,427.47
  5. Step 5: Solve for x
    x = 1,034,379,427.47/37,016
  6. Step 6: Final answer
    x = 27,944.12

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1.5x scale

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.