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Finding the Fourth Proportional to 65,832, 98,748 and 16,584

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Solution

The fourth proportional to 65,832, 98,748 and 16,584 is: 24,876

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832 : 98,748 = 16,584 : x
  2. Step 2: Convert to fraction form
    65,832/98,748 = 16,584/x
  3. Step 3: Cross multiply
    65,832x = 98,748 × 16,584
  4. Step 4: Simplify right side
    65,832x = 1,637,636,832
  5. Step 5: Solve for x
    x = 1,637,636,832/65,832
  6. Step 6: Final answer
    x = 24,876

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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.