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Finding the Fourth Proportional to 37,045.81, 51,122.82 and 20,049.68

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Solution

The fourth proportional to 37,045.81, 51,122.82 and 20,049.68 is: 27,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.81 : 51,122.82 = 20,049.68 : x
  2. Step 2: Convert to fraction form
    37,045.81/51,122.82 = 20,049.68/x
  3. Step 3: Cross multiply
    37,045.81x = 51,122.82 × 20,049.68
  4. Step 4: Simplify right side
    37,045.81x = 1,024,996,181.70
  5. Step 5: Solve for x
    x = 1,024,996,181.70/37,045.81
  6. Step 6: Final answer
    x = 27,668.34

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