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Finding the Fourth Proportional to 65,243.50, 97,697.72 and 45,224.41

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Solution

The fourth proportional to 65,243.50, 97,697.72 and 45,224.41 is: 67,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,243.50 : 97,697.72 = 45,224.41 : x
  2. Step 2: Convert to fraction form
    65,243.50/97,697.72 = 45,224.41/x
  3. Step 3: Cross multiply
    65,243.50x = 97,697.72 × 45,224.41
  4. Step 4: Simplify right side
    65,243.50x = 4,418,321,745.35
  5. Step 5: Solve for x
    x = 4,418,321,745.35/65,243.50
  6. Step 6: Final answer
    x = 67,720.49

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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.