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Finding the Fourth Proportional to 34,196.10, 47,211.96 and 22,102.92

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Solution

The fourth proportional to 34,196.10, 47,211.96 and 22,102.92 is: 30,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.10 : 47,211.96 = 22,102.92 : x
  2. Step 2: Convert to fraction form
    34,196.10/47,211.96 = 22,102.92/x
  3. Step 3: Cross multiply
    34,196.10x = 47,211.96 × 22,102.92
  4. Step 4: Simplify right side
    34,196.10x = 1,043,522,174.92
  5. Step 5: Solve for x
    x = 1,043,522,174.92/34,196.10
  6. Step 6: Final answer
    x = 30,515.82

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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.