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Finding the Fourth Proportional to 64,861.92, 97,297.68 and 22,737.36

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Solution

The fourth proportional to 64,861.92, 97,297.68 and 22,737.36 is: 34,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,861.92 : 97,297.68 = 22,737.36 : x
  2. Step 2: Convert to fraction form
    64,861.92/97,297.68 = 22,737.36/x
  3. Step 3: Cross multiply
    64,861.92x = 97,297.68 × 22,737.36
  4. Step 4: Simplify right side
    64,861.92x = 2,212,292,377.32
  5. Step 5: Solve for x
    x = 2,212,292,377.32/64,861.92
  6. Step 6: Final answer
    x = 34,107.72

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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.