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Finding the Fourth Proportional to 90,104.82, 135,160.50 and 30,940.14

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Solution

The fourth proportional to 90,104.82, 135,160.50 and 30,940.14 is: 46,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,104.82 : 135,160.50 = 30,940.14 : x
  2. Step 2: Convert to fraction form
    90,104.82/135,160.50 = 30,940.14/x
  3. Step 3: Cross multiply
    90,104.82x = 135,160.50 × 30,940.14
  4. Step 4: Simplify right side
    90,104.82x = 4,181,884,792.47
  5. Step 5: Solve for x
    x = 4,181,884,792.47/90,104.82
  6. Step 6: Final answer
    x = 46,411.33

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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.