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Finding the Fourth Proportional to 29,282.10, 40,415.94 and 22,896.06

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Solution

The fourth proportional to 29,282.10, 40,415.94 and 22,896.06 is: 31,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282.10 : 40,415.94 = 22,896.06 : x
  2. Step 2: Convert to fraction form
    29,282.10/40,415.94 = 22,896.06/x
  3. Step 3: Cross multiply
    29,282.10x = 40,415.94 × 22,896.06
  4. Step 4: Simplify right side
    29,282.10x = 925,365,787.20
  5. Step 5: Solve for x
    x = 925,365,787.20/29,282.10
  6. Step 6: Final answer
    x = 31,601.76

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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.