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Finding the Fourth Proportional to 83,054.67, 124,601.85 and 26,894.84

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Solution

The fourth proportional to 83,054.67, 124,601.85 and 26,894.84 is: 40,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.67 : 124,601.85 = 26,894.84 : x
  2. Step 2: Convert to fraction form
    83,054.67/124,601.85 = 26,894.84/x
  3. Step 3: Cross multiply
    83,054.67x = 124,601.85 × 26,894.84
  4. Step 4: Simplify right side
    83,054.67x = 3,351,146,819.45
  5. Step 5: Solve for x
    x = 3,351,146,819.45/83,054.67
  6. Step 6: Final answer
    x = 40,348.69

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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.