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Finding the Fourth Proportional to 33,338, 49,982.32 and 20,187.28

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Solution

The fourth proportional to 33,338, 49,982.32 and 20,187.28 is: 30,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338 : 49,982.32 = 20,187.28 : x
  2. Step 2: Convert to fraction form
    33,338/49,982.32 = 20,187.28/x
  3. Step 3: Cross multiply
    33,338x = 49,982.32 × 20,187.28
  4. Step 4: Simplify right side
    33,338x = 1,009,007,088.89
  5. Step 5: Solve for x
    x = 1,009,007,088.89/33,338
  6. Step 6: Final answer
    x = 30,265.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.