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Finding the Fourth Proportional to 65,502, 98,253 and 16,254

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Solution

The fourth proportional to 65,502, 98,253 and 16,254 is: 24,381

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 98,253 = 16,254 : x
  2. Step 2: Convert to fraction form
    65,502/98,253 = 16,254/x
  3. Step 3: Cross multiply
    65,502x = 98,253 × 16,254
  4. Step 4: Simplify right side
    65,502x = 1,597,004,262
  5. Step 5: Solve for x
    x = 1,597,004,262/65,502
  6. Step 6: Final answer
    x = 24,381

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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.