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Finding the Fourth Proportional to 37,391.98, 51,606.52 and 23,978.38

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Solution

The fourth proportional to 37,391.98, 51,606.52 and 23,978.38 is: 33,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,391.98 : 51,606.52 = 23,978.38 : x
  2. Step 2: Convert to fraction form
    37,391.98/51,606.52 = 23,978.38/x
  3. Step 3: Cross multiply
    37,391.98x = 51,606.52 × 23,978.38
  4. Step 4: Simplify right side
    37,391.98x = 1,237,440,747.04
  5. Step 5: Solve for x
    x = 1,237,440,747.04/37,391.98
  6. Step 6: Final answer
    x = 33,093.75

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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.