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Finding the Fourth Proportional to 57,797.10, 86,724.45 and 32,856.30

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Solution

The fourth proportional to 57,797.10, 86,724.45 and 32,856.30 is: 49,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,797.10 : 86,724.45 = 32,856.30 : x
  2. Step 2: Convert to fraction form
    57,797.10/86,724.45 = 32,856.30/x
  3. Step 3: Cross multiply
    57,797.10x = 86,724.45 × 32,856.30
  4. Step 4: Simplify right side
    57,797.10x = 2,849,444,546.54
  5. Step 5: Solve for x
    x = 2,849,444,546.54/57,797.10
  6. Step 6: Final answer
    x = 49,300.82

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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.