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Finding the Fourth Proportional to 65,672, 98,508 and 16,424

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Solution

The fourth proportional to 65,672, 98,508 and 16,424 is: 24,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672 : 98,508 = 16,424 : x
  2. Step 2: Convert to fraction form
    65,672/98,508 = 16,424/x
  3. Step 3: Cross multiply
    65,672x = 98,508 × 16,424
  4. Step 4: Simplify right side
    65,672x = 1,617,895,392
  5. Step 5: Solve for x
    x = 1,617,895,392/65,672
  6. Step 6: Final answer
    x = 24,636

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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.