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Finding the Fourth Proportional to 37,648.36, 51,956.38 and 22,538.11

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Solution

The fourth proportional to 37,648.36, 51,956.38 and 22,538.11 is: 31,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.36 : 51,956.38 = 22,538.11 : x
  2. Step 2: Convert to fraction form
    37,648.36/51,956.38 = 22,538.11/x
  3. Step 3: Cross multiply
    37,648.36x = 51,956.38 × 22,538.11
  4. Step 4: Simplify right side
    37,648.36x = 1,170,998,660.56
  5. Step 5: Solve for x
    x = 1,170,998,660.56/37,648.36
  6. Step 6: Final answer
    x = 31,103.57

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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.