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Finding the Fourth Proportional to 37,016.53, 51,082.68 and 20,020.80

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Solution

The fourth proportional to 37,016.53, 51,082.68 and 20,020.80 is: 27,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016.53 : 51,082.68 = 20,020.80 : x
  2. Step 2: Convert to fraction form
    37,016.53/51,082.68 = 20,020.80/x
  3. Step 3: Cross multiply
    37,016.53x = 51,082.68 × 20,020.80
  4. Step 4: Simplify right side
    37,016.53x = 1,022,716,386.38
  5. Step 5: Solve for x
    x = 1,022,716,386.38/37,016.53
  6. Step 6: Final answer
    x = 27,628.64

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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.