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Finding the Fourth Proportional to 65,515, 98,273.14 and 16,267

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Solution

The fourth proportional to 65,515, 98,273.14 and 16,267 is: 24,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,515 : 98,273.14 = 16,267 : x
  2. Step 2: Convert to fraction form
    65,515/98,273.14 = 16,267/x
  3. Step 3: Cross multiply
    65,515x = 98,273.14 × 16,267
  4. Step 4: Simplify right side
    65,515x = 1,598,609,168.38
  5. Step 5: Solve for x
    x = 1,598,609,168.38/65,515
  6. Step 6: Final answer
    x = 24,400.66

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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.