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Finding the Fourth Proportional to 65,840, 98,760 and 16,592

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Solution

The fourth proportional to 65,840, 98,760 and 16,592 is: 24,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840 : 98,760 = 16,592 : x
  2. Step 2: Convert to fraction form
    65,840/98,760 = 16,592/x
  3. Step 3: Cross multiply
    65,840x = 98,760 × 16,592
  4. Step 4: Simplify right side
    65,840x = 1,638,625,920
  5. Step 5: Solve for x
    x = 1,638,625,920/65,840
  6. Step 6: Final answer
    x = 24,888

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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.