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Finding the Fourth Proportional to 65,204.78, 97,843.50 and 35,218.41

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Solution

The fourth proportional to 65,204.78, 97,843.50 and 35,218.41 is: 52,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.78 : 97,843.50 = 35,218.41 : x
  2. Step 2: Convert to fraction form
    65,204.78/97,843.50 = 35,218.41/x
  3. Step 3: Cross multiply
    65,204.78x = 97,843.50 × 35,218.41
  4. Step 4: Simplify right side
    65,204.78x = 3,445,891,833.53
  5. Step 5: Solve for x
    x = 3,445,891,833.53/65,204.78
  6. Step 6: Final answer
    x = 52,847.23

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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.