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Finding the Fourth Proportional to 33,821.84, 46,663.56 and 20,397.20

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Solution

The fourth proportional to 33,821.84, 46,663.56 and 20,397.20 is: 28,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.84 : 46,663.56 = 20,397.20 : x
  2. Step 2: Convert to fraction form
    33,821.84/46,663.56 = 20,397.20/x
  3. Step 3: Cross multiply
    33,821.84x = 46,663.56 × 20,397.20
  4. Step 4: Simplify right side
    33,821.84x = 951,805,966.03
  5. Step 5: Solve for x
    x = 951,805,966.03/33,821.84
  6. Step 6: Final answer
    x = 28,141.76

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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.