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Finding the Fourth Proportional to 37,960.38, 52,380.81 and 22,852.80

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Solution

The fourth proportional to 37,960.38, 52,380.81 and 22,852.80 is: 31,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,960.38 : 52,380.81 = 22,852.80 : x
  2. Step 2: Convert to fraction form
    37,960.38/52,380.81 = 22,852.80/x
  3. Step 3: Cross multiply
    37,960.38x = 52,380.81 × 22,852.80
  4. Step 4: Simplify right side
    37,960.38x = 1,197,048,174.77
  5. Step 5: Solve for x
    x = 1,197,048,174.77/37,960.38
  6. Step 6: Final answer
    x = 31,534.15

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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.