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Finding the Fourth Proportional to 46,496, 69,744 and 13,664

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Solution

The fourth proportional to 46,496, 69,744 and 13,664 is: 20,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496 : 69,744 = 13,664 : x
  2. Step 2: Convert to fraction form
    46,496/69,744 = 13,664/x
  3. Step 3: Cross multiply
    46,496x = 69,744 × 13,664
  4. Step 4: Simplify right side
    46,496x = 952,982,016
  5. Step 5: Solve for x
    x = 952,982,016/46,496
  6. Step 6: Final answer
    x = 20,496

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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.