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Finding the Fourth Proportional to 83,240, 124,860.12 and 33,992

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Solution

The fourth proportional to 83,240, 124,860.12 and 33,992 is: 50,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,240 : 124,860.12 = 33,992 : x
  2. Step 2: Convert to fraction form
    83,240/124,860.12 = 33,992/x
  3. Step 3: Cross multiply
    83,240x = 124,860.12 × 33,992
  4. Step 4: Simplify right side
    83,240x = 4,244,245,199.04
  5. Step 5: Solve for x
    x = 4,244,245,199.04/83,240
  6. Step 6: Final answer
    x = 50,988.05

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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.