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Finding the Fourth Proportional to 65,906.49, 98,839.30 and 23,781.10

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Solution

The fourth proportional to 65,906.49, 98,839.30 and 23,781.10 is: 35,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.49 : 98,839.30 = 23,781.10 : x
  2. Step 2: Convert to fraction form
    65,906.49/98,839.30 = 23,781.10/x
  3. Step 3: Cross multiply
    65,906.49x = 98,839.30 × 23,781.10
  4. Step 4: Simplify right side
    65,906.49x = 2,350,507,277.23
  5. Step 5: Solve for x
    x = 2,350,507,277.23/65,906.49
  6. Step 6: Final answer
    x = 35,664.28

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Why These Related Problems?

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