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Finding the Fourth Proportional to 69,636.74, 96,098.16 and 37,805

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Solution

The fourth proportional to 69,636.74, 96,098.16 and 37,805 is: 52,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,636.74 : 96,098.16 = 37,805 : x
  2. Step 2: Convert to fraction form
    69,636.74/96,098.16 = 37,805/x
  3. Step 3: Cross multiply
    69,636.74x = 96,098.16 × 37,805
  4. Step 4: Simplify right side
    69,636.74x = 3,632,990,938.80
  5. Step 5: Solve for x
    x = 3,632,990,938.80/69,636.74
  6. Step 6: Final answer
    x = 52,170.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.