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Finding the Fourth Proportional to 33,864.84, 46,717.92 and 21,932.16

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Solution

The fourth proportional to 33,864.84, 46,717.92 and 21,932.16 is: 30,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.84 : 46,717.92 = 21,932.16 : x
  2. Step 2: Convert to fraction form
    33,864.84/46,717.92 = 21,932.16/x
  3. Step 3: Cross multiply
    33,864.84x = 46,717.92 × 21,932.16
  4. Step 4: Simplify right side
    33,864.84x = 1,024,624,896.31
  5. Step 5: Solve for x
    x = 1,024,624,896.31/33,864.84
  6. Step 6: Final answer
    x = 30,256.30

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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.