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Finding the Fourth Proportional to 64,448, 96,672 and 22,896.64

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Solution

The fourth proportional to 64,448, 96,672 and 22,896.64 is: 34,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,448 : 96,672 = 22,896.64 : x
  2. Step 2: Convert to fraction form
    64,448/96,672 = 22,896.64/x
  3. Step 3: Cross multiply
    64,448x = 96,672 × 22,896.64
  4. Step 4: Simplify right side
    64,448x = 2,213,463,982.08
  5. Step 5: Solve for x
    x = 2,213,463,982.08/64,448
  6. Step 6: Final answer
    x = 34,344.96

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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.