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Finding the Fourth Proportional to 37,837.42, 52,215.02 and 20,843.28

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Solution

The fourth proportional to 37,837.42, 52,215.02 and 20,843.28 is: 28,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,837.42 : 52,215.02 = 20,843.28 : x
  2. Step 2: Convert to fraction form
    37,837.42/52,215.02 = 20,843.28/x
  3. Step 3: Cross multiply
    37,837.42x = 52,215.02 × 20,843.28
  4. Step 4: Simplify right side
    37,837.42x = 1,088,332,282.07
  5. Step 5: Solve for x
    x = 1,088,332,282.07/37,837.42
  6. Step 6: Final answer
    x = 28,763.39

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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.