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Finding the Fourth Proportional to 34,197.72, 47,191.98 and 22,238.49

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Solution

The fourth proportional to 34,197.72, 47,191.98 and 22,238.49 is: 30,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.72 : 47,191.98 = 22,238.49 : x
  2. Step 2: Convert to fraction form
    34,197.72/47,191.98 = 22,238.49/x
  3. Step 3: Cross multiply
    34,197.72x = 47,191.98 × 22,238.49
  4. Step 4: Simplify right side
    34,197.72x = 1,049,478,375.31
  5. Step 5: Solve for x
    x = 1,049,478,375.31/34,197.72
  6. Step 6: Final answer
    x = 30,688.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.