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Finding the Fourth Proportional to 83,751.99, 115,530.96 and 51,464.17

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Solution

The fourth proportional to 83,751.99, 115,530.96 and 51,464.17 is: 70,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.99 : 115,530.96 = 51,464.17 : x
  2. Step 2: Convert to fraction form
    83,751.99/115,530.96 = 51,464.17/x
  3. Step 3: Cross multiply
    83,751.99x = 115,530.96 × 51,464.17
  4. Step 4: Simplify right side
    83,751.99x = 5,945,705,013.62
  5. Step 5: Solve for x
    x = 5,945,705,013.62/83,751.99
  6. Step 6: Final answer
    x = 70,991.81

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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.