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Finding the Fourth Proportional to 33,781.46, 46,607 and 19,622.66

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Solution

The fourth proportional to 33,781.46, 46,607 and 19,622.66 is: 27,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.46 : 46,607 = 19,622.66 : x
  2. Step 2: Convert to fraction form
    33,781.46/46,607 = 19,622.66/x
  3. Step 3: Cross multiply
    33,781.46x = 46,607 × 19,622.66
  4. Step 4: Simplify right side
    33,781.46x = 914,553,314.62
  5. Step 5: Solve for x
    x = 914,553,314.62/33,781.46
  6. Step 6: Final answer
    x = 27,072.64

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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.