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Finding the Fourth Proportional to 83,165.79, 114,736.17 and 51,279.33

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Solution

The fourth proportional to 83,165.79, 114,736.17 and 51,279.33 is: 70,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.79 : 114,736.17 = 51,279.33 : x
  2. Step 2: Convert to fraction form
    83,165.79/114,736.17 = 51,279.33/x
  3. Step 3: Cross multiply
    83,165.79x = 114,736.17 × 51,279.33
  4. Step 4: Simplify right side
    83,165.79x = 5,883,593,924.37
  5. Step 5: Solve for x
    x = 5,883,593,924.37/83,165.79
  6. Step 6: Final answer
    x = 70,745.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.