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Finding the Fourth Proportional to 83,071, 124,658.34 and 33,823

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Solution

The fourth proportional to 83,071, 124,658.34 and 33,823 is: 50,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071 : 124,658.34 = 33,823 : x
  2. Step 2: Convert to fraction form
    83,071/124,658.34 = 33,823/x
  3. Step 3: Cross multiply
    83,071x = 124,658.34 × 33,823
  4. Step 4: Simplify right side
    83,071x = 4,216,319,033.82
  5. Step 5: Solve for x
    x = 4,216,319,033.82/83,071
  6. Step 6: Final answer
    x = 50,755.61

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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.