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Finding the Fourth Proportional to 65,664, 98,496 and 16,416

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Solution

The fourth proportional to 65,664, 98,496 and 16,416 is: 24,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 98,496 = 16,416 : x
  2. Step 2: Convert to fraction form
    65,664/98,496 = 16,416/x
  3. Step 3: Cross multiply
    65,664x = 98,496 × 16,416
  4. Step 4: Simplify right side
    65,664x = 1,616,910,336
  5. Step 5: Solve for x
    x = 1,616,910,336/65,664
  6. Step 6: Final answer
    x = 24,624

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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.