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Finding the Fourth Proportional to 37,806.56, 52,170.38 and 22,492.27

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Solution

The fourth proportional to 37,806.56, 52,170.38 and 22,492.27 is: 31,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.56 : 52,170.38 = 22,492.27 : x
  2. Step 2: Convert to fraction form
    37,806.56/52,170.38 = 22,492.27/x
  3. Step 3: Cross multiply
    37,806.56x = 52,170.38 × 22,492.27
  4. Step 4: Simplify right side
    37,806.56x = 1,173,430,016.60
  5. Step 5: Solve for x
    x = 1,173,430,016.60/37,806.56
  6. Step 6: Final answer
    x = 31,037.73

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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.