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Finding the Fourth Proportional to 34,660, 47,846.64 and 22,723.84

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Solution

The fourth proportional to 34,660, 47,846.64 and 22,723.84 is: 31,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660 : 47,846.64 = 22,723.84 : x
  2. Step 2: Convert to fraction form
    34,660/47,846.64 = 22,723.84/x
  3. Step 3: Cross multiply
    34,660x = 47,846.64 × 22,723.84
  4. Step 4: Simplify right side
    34,660x = 1,087,259,391.90
  5. Step 5: Solve for x
    x = 1,087,259,391.90/34,660
  6. Step 6: Final answer
    x = 31,369.28

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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.