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Finding the Fourth Proportional to 65,540, 98,310.36 and 16,292

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Solution

The fourth proportional to 65,540, 98,310.36 and 16,292 is: 24,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,540 : 98,310.36 = 16,292 : x
  2. Step 2: Convert to fraction form
    65,540/98,310.36 = 16,292/x
  3. Step 3: Cross multiply
    65,540x = 98,310.36 × 16,292
  4. Step 4: Simplify right side
    65,540x = 1,601,672,385.12
  5. Step 5: Solve for x
    x = 1,601,672,385.12/65,540
  6. Step 6: Final answer
    x = 24,438.09

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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.