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Finding the Fourth Proportional to 36,974.25, 51,024.47 and 23,749.29

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Solution

The fourth proportional to 36,974.25, 51,024.47 and 23,749.29 is: 32,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,974.25 : 51,024.47 = 23,749.29 : x
  2. Step 2: Convert to fraction form
    36,974.25/51,024.47 = 23,749.29/x
  3. Step 3: Cross multiply
    36,974.25x = 51,024.47 × 23,749.29
  4. Step 4: Simplify right side
    36,974.25x = 1,211,794,816.38
  5. Step 5: Solve for x
    x = 1,211,794,816.38/36,974.25
  6. Step 6: Final answer
    x = 32,774.02

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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.