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Finding the Fourth Proportional to 83,044.84, 124,613.34 and 33,793

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Solution

The fourth proportional to 83,044.84, 124,613.34 and 33,793 is: 50,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.84 : 124,613.34 = 33,793 : x
  2. Step 2: Convert to fraction form
    83,044.84/124,613.34 = 33,793/x
  3. Step 3: Cross multiply
    83,044.84x = 124,613.34 × 33,793
  4. Step 4: Simplify right side
    83,044.84x = 4,211,058,598.62
  5. Step 5: Solve for x
    x = 4,211,058,598.62/83,044.84
  6. Step 6: Final answer
    x = 50,708.25

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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.