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Finding the Fourth Proportional to 64,487.52, 96,711.84 and 22,932

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Solution

The fourth proportional to 64,487.52, 96,711.84 and 22,932 is: 34,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,487.52 : 96,711.84 = 22,932 : x
  2. Step 2: Convert to fraction form
    64,487.52/96,711.84 = 22,932/x
  3. Step 3: Cross multiply
    64,487.52x = 96,711.84 × 22,932
  4. Step 4: Simplify right side
    64,487.52x = 2,217,795,914.88
  5. Step 5: Solve for x
    x = 2,217,795,914.88/64,487.52
  6. Step 6: Final answer
    x = 34,391.09

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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.