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Finding the Fourth Proportional to 34,123.72, 47,092.26 and 22,197.16

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Solution

The fourth proportional to 34,123.72, 47,092.26 and 22,197.16 is: 30,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.72 : 47,092.26 = 22,197.16 : x
  2. Step 2: Convert to fraction form
    34,123.72/47,092.26 = 22,197.16/x
  3. Step 3: Cross multiply
    34,123.72x = 47,092.26 × 22,197.16
  4. Step 4: Simplify right side
    34,123.72x = 1,045,314,429.98
  5. Step 5: Solve for x
    x = 1,045,314,429.98/34,123.72
  6. Step 6: Final answer
    x = 30,633.07

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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.