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Finding the Fourth Proportional to 37,266.99, 51,428.01 and 27,749.44

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Solution

The fourth proportional to 37,266.99, 51,428.01 and 27,749.44 is: 38,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,266.99 : 51,428.01 = 27,749.44 : x
  2. Step 2: Convert to fraction form
    37,266.99/51,428.01 = 27,749.44/x
  3. Step 3: Cross multiply
    37,266.99x = 51,428.01 × 27,749.44
  4. Step 4: Simplify right side
    37,266.99x = 1,427,098,646.16
  5. Step 5: Solve for x
    x = 1,427,098,646.16/37,266.99
  6. Step 6: Final answer
    x = 38,293.91

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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.