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Finding the Fourth Proportional to 44,976, 67,464 and 12,144

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Solution

The fourth proportional to 44,976, 67,464 and 12,144 is: 18,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,976 : 67,464 = 12,144 : x
  2. Step 2: Convert to fraction form
    44,976/67,464 = 12,144/x
  3. Step 3: Cross multiply
    44,976x = 67,464 × 12,144
  4. Step 4: Simplify right side
    44,976x = 819,282,816
  5. Step 5: Solve for x
    x = 819,282,816/44,976
  6. Step 6: Final answer
    x = 18,216

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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.