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Finding the Fourth Proportional to 83,093.66, 124,633.11 and 20,764.10

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Solution

The fourth proportional to 83,093.66, 124,633.11 and 20,764.10 is: 31,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,093.66 : 124,633.11 = 20,764.10 : x
  2. Step 2: Convert to fraction form
    83,093.66/124,633.11 = 20,764.10/x
  3. Step 3: Cross multiply
    83,093.66x = 124,633.11 × 20,764.10
  4. Step 4: Simplify right side
    83,093.66x = 2,587,894,359.35
  5. Step 5: Solve for x
    x = 2,587,894,359.35/83,093.66
  6. Step 6: Final answer
    x = 31,144.31

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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.