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Finding the Fourth Proportional to 34,229.12, 47,235.84 and 21,664.16

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Solution

The fourth proportional to 34,229.12, 47,235.84 and 21,664.16 is: 29,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229.12 : 47,235.84 = 21,664.16 : x
  2. Step 2: Convert to fraction form
    34,229.12/47,235.84 = 21,664.16/x
  3. Step 3: Cross multiply
    34,229.12x = 47,235.84 × 21,664.16
  4. Step 4: Simplify right side
    34,229.12x = 1,023,324,795.49
  5. Step 5: Solve for x
    x = 1,023,324,795.49/34,229.12
  6. Step 6: Final answer
    x = 29,896.32

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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.