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Finding the Fourth Proportional to 65,530, 98,295 and 16,282

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Solution

The fourth proportional to 65,530, 98,295 and 16,282 is: 24,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530 : 98,295 = 16,282 : x
  2. Step 2: Convert to fraction form
    65,530/98,295 = 16,282/x
  3. Step 3: Cross multiply
    65,530x = 98,295 × 16,282
  4. Step 4: Simplify right side
    65,530x = 1,600,439,190
  5. Step 5: Solve for x
    x = 1,600,439,190/65,530
  6. Step 6: Final answer
    x = 24,423

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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.