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Finding the Fourth Proportional to 33,809.80, 46,641.82 and 21,877

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Solution

The fourth proportional to 33,809.80, 46,641.82 and 21,877 is: 30,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809.80 : 46,641.82 = 21,877 : x
  2. Step 2: Convert to fraction form
    33,809.80/46,641.82 = 21,877/x
  3. Step 3: Cross multiply
    33,809.80x = 46,641.82 × 21,877
  4. Step 4: Simplify right side
    33,809.80x = 1,020,383,096.14
  5. Step 5: Solve for x
    x = 1,020,383,096.14/33,809.80
  6. Step 6: Final answer
    x = 30,180.10

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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.