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Finding the Fourth Proportional to 65,472, 98,208 and 16,224

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Solution

The fourth proportional to 65,472, 98,208 and 16,224 is: 24,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 98,208 = 16,224 : x
  2. Step 2: Convert to fraction form
    65,472/98,208 = 16,224/x
  3. Step 3: Cross multiply
    65,472x = 98,208 × 16,224
  4. Step 4: Simplify right side
    65,472x = 1,593,326,592
  5. Step 5: Solve for x
    x = 1,593,326,592/65,472
  6. Step 6: Final answer
    x = 24,336

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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.