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Finding the Fourth Proportional to 57,086.84, 78,786 and 33,226.67

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Solution

The fourth proportional to 57,086.84, 78,786 and 33,226.67 is: 45,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,086.84 : 78,786 = 33,226.67 : x
  2. Step 2: Convert to fraction form
    57,086.84/78,786 = 33,226.67/x
  3. Step 3: Cross multiply
    57,086.84x = 78,786 × 33,226.67
  4. Step 4: Simplify right side
    57,086.84x = 2,617,796,619.59
  5. Step 5: Solve for x
    x = 2,617,796,619.59/57,086.84
  6. Step 6: Final answer
    x = 45,856.39

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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.