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Finding the Fourth Proportional to 76,581.92, 114,892.16 and 23,991.84

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Solution

The fourth proportional to 76,581.92, 114,892.16 and 23,991.84 is: 35,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,581.92 : 114,892.16 = 23,991.84 : x
  2. Step 2: Convert to fraction form
    76,581.92/114,892.16 = 23,991.84/x
  3. Step 3: Cross multiply
    76,581.92x = 114,892.16 × 23,991.84
  4. Step 4: Simplify right side
    76,581.92x = 2,756,474,319.97
  5. Step 5: Solve for x
    x = 2,756,474,319.97/76,581.92
  6. Step 6: Final answer
    x = 35,993.80

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1.5x scale

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.