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Finding the Fourth Proportional to 37,793.74, 52,137.91 and 24,369.31

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Solution

The fourth proportional to 37,793.74, 52,137.91 and 24,369.31 is: 33,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,793.74 : 52,137.91 = 24,369.31 : x
  2. Step 2: Convert to fraction form
    37,793.74/52,137.91 = 24,369.31/x
  3. Step 3: Cross multiply
    37,793.74x = 52,137.91 × 24,369.31
  4. Step 4: Simplify right side
    37,793.74x = 1,270,564,693.90
  5. Step 5: Solve for x
    x = 1,270,564,693.90/37,793.74
  6. Step 6: Final answer
    x = 33,618.39

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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.