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Finding the Fourth Proportional to 65,408.50, 98,107.71 and 37,240.12

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Solution

The fourth proportional to 65,408.50, 98,107.71 and 37,240.12 is: 55,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.50 : 98,107.71 = 37,240.12 : x
  2. Step 2: Convert to fraction form
    65,408.50/98,107.71 = 37,240.12/x
  3. Step 3: Cross multiply
    65,408.50x = 98,107.71 × 37,240.12
  4. Step 4: Simplify right side
    65,408.50x = 3,653,542,893.33
  5. Step 5: Solve for x
    x = 3,653,542,893.33/65,408.50
  6. Step 6: Final answer
    x = 55,857.31

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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.