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Finding the Fourth Proportional to 57,182.76, 85,735.83 and 22,081.41

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Solution

The fourth proportional to 57,182.76, 85,735.83 and 22,081.41 is: 33,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.76 : 85,735.83 = 22,081.41 : x
  2. Step 2: Convert to fraction form
    57,182.76/85,735.83 = 22,081.41/x
  3. Step 3: Cross multiply
    57,182.76x = 85,735.83 × 22,081.41
  4. Step 4: Simplify right side
    57,182.76x = 1,893,168,096.73
  5. Step 5: Solve for x
    x = 1,893,168,096.73/57,182.76
  6. Step 6: Final answer
    x = 33,107.32

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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.