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Finding the Fourth Proportional to 83,993.16, 125,994.34 and 34,065.84

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Solution

The fourth proportional to 83,993.16, 125,994.34 and 34,065.84 is: 51,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.16 : 125,994.34 = 34,065.84 : x
  2. Step 2: Convert to fraction form
    83,993.16/125,994.34 = 34,065.84/x
  3. Step 3: Cross multiply
    83,993.16x = 125,994.34 × 34,065.84
  4. Step 4: Simplify right side
    83,993.16x = 4,292,103,027.35
  5. Step 5: Solve for x
    x = 4,292,103,027.35/83,993.16
  6. Step 6: Final answer
    x = 51,100.63

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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.