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Finding the Fourth Proportional to 83,245, 124,867.62 and 33,997

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Solution

The fourth proportional to 83,245, 124,867.62 and 33,997 is: 50,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,245 : 124,867.62 = 33,997 : x
  2. Step 2: Convert to fraction form
    83,245/124,867.62 = 33,997/x
  3. Step 3: Cross multiply
    83,245x = 124,867.62 × 33,997
  4. Step 4: Simplify right side
    83,245x = 4,245,124,477.14
  5. Step 5: Solve for x
    x = 4,245,124,477.14/83,245
  6. Step 6: Final answer
    x = 50,995.55

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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.