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Finding the Fourth Proportional to 57,856.21, 86,833.62 and 22,820.47

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Solution

The fourth proportional to 57,856.21, 86,833.62 and 22,820.47 is: 34,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.21 : 86,833.62 = 22,820.47 : x
  2. Step 2: Convert to fraction form
    57,856.21/86,833.62 = 22,820.47/x
  3. Step 3: Cross multiply
    57,856.21x = 86,833.62 × 22,820.47
  4. Step 4: Simplify right side
    57,856.21x = 1,981,583,586.03
  5. Step 5: Solve for x
    x = 1,981,583,586.03/57,856.21
  6. Step 6: Final answer
    x = 34,250.15

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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.