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Finding the Fourth Proportional to 65,408.50, 98,148.19 and 50,646.25

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Solution

The fourth proportional to 65,408.50, 98,148.19 and 50,646.25 is: 75,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.50 : 98,148.19 = 50,646.25 : x
  2. Step 2: Convert to fraction form
    65,408.50/98,148.19 = 50,646.25/x
  3. Step 3: Cross multiply
    65,408.50x = 98,148.19 × 50,646.25
  4. Step 4: Simplify right side
    65,408.50x = 4,970,837,767.79
  5. Step 5: Solve for x
    x = 4,970,837,767.79/65,408.50
  6. Step 6: Final answer
    x = 75,996.82

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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.