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Finding the Fourth Proportional to 57,285.90, 86,005.80 and 33,617.70

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Solution

The fourth proportional to 57,285.90, 86,005.80 and 33,617.70 is: 50,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285.90 : 86,005.80 = 33,617.70 : x
  2. Step 2: Convert to fraction form
    57,285.90/86,005.80 = 33,617.70/x
  3. Step 3: Cross multiply
    57,285.90x = 86,005.80 × 33,617.70
  4. Step 4: Simplify right side
    57,285.90x = 2,891,317,182.66
  5. Step 5: Solve for x
    x = 2,891,317,182.66/57,285.90
  6. Step 6: Final answer
    x = 50,471.71

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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.