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Finding the Fourth Proportional to 64,489, 96,733.50 and 22,936

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Solution

The fourth proportional to 64,489, 96,733.50 and 22,936 is: 34,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489 : 96,733.50 = 22,936 : x
  2. Step 2: Convert to fraction form
    64,489/96,733.50 = 22,936/x
  3. Step 3: Cross multiply
    64,489x = 96,733.50 × 22,936
  4. Step 4: Simplify right side
    64,489x = 2,218,679,556
  5. Step 5: Solve for x
    x = 2,218,679,556/64,489
  6. Step 6: Final answer
    x = 34,404

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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.