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Finding the Fourth Proportional to 64,512, 96,768 and 20,736

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Solution

The fourth proportional to 64,512, 96,768 and 20,736 is: 31,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 96,768 = 20,736 : x
  2. Step 2: Convert to fraction form
    64,512/96,768 = 20,736/x
  3. Step 3: Cross multiply
    64,512x = 96,768 × 20,736
  4. Step 4: Simplify right side
    64,512x = 2,006,581,248
  5. Step 5: Solve for x
    x = 2,006,581,248/64,512
  6. Step 6: Final answer
    x = 31,104

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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.