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Finding the Fourth Proportional to 33,897.28, 46,778.16 and 18,790

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Solution

The fourth proportional to 33,897.28, 46,778.16 and 18,790 is: 25,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,897.28 : 46,778.16 = 18,790 : x
  2. Step 2: Convert to fraction form
    33,897.28/46,778.16 = 18,790/x
  3. Step 3: Cross multiply
    33,897.28x = 46,778.16 × 18,790
  4. Step 4: Simplify right side
    33,897.28x = 878,961,626.40
  5. Step 5: Solve for x
    x = 878,961,626.40/33,897.28
  6. Step 6: Final answer
    x = 25,930.15

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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.