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Finding the Fourth Proportional to 64,651.24, 96,980.97 and 22,529.62

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Solution

The fourth proportional to 64,651.24, 96,980.97 and 22,529.62 is: 33,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.24 : 96,980.97 = 22,529.62 : x
  2. Step 2: Convert to fraction form
    64,651.24/96,980.97 = 22,529.62/x
  3. Step 3: Cross multiply
    64,651.24x = 96,980.97 × 22,529.62
  4. Step 4: Simplify right side
    64,651.24x = 2,184,944,401.33
  5. Step 5: Solve for x
    x = 2,184,944,401.33/64,651.24
  6. Step 6: Final answer
    x = 33,795.86

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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.