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Finding the Fourth Proportional to 64,861.96, 97,317.24 and 22,745.20

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Solution

The fourth proportional to 64,861.96, 97,317.24 and 22,745.20 is: 34,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,861.96 : 97,317.24 = 22,745.20 : x
  2. Step 2: Convert to fraction form
    64,861.96/97,317.24 = 22,745.20/x
  3. Step 3: Cross multiply
    64,861.96x = 97,317.24 × 22,745.20
  4. Step 4: Simplify right side
    64,861.96x = 2,213,500,087.25
  5. Step 5: Solve for x
    x = 2,213,500,087.25/64,861.96
  6. Step 6: Final answer
    x = 34,126.32

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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.