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Finding the Fourth Proportional to 57,203.50, 85,818.22 and 20,267.50

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Solution

The fourth proportional to 57,203.50, 85,818.22 and 20,267.50 is: 30,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.50 : 85,818.22 = 20,267.50 : x
  2. Step 2: Convert to fraction form
    57,203.50/85,818.22 = 20,267.50/x
  3. Step 3: Cross multiply
    57,203.50x = 85,818.22 × 20,267.50
  4. Step 4: Simplify right side
    57,203.50x = 1,739,320,773.85
  5. Step 5: Solve for x
    x = 1,739,320,773.85/57,203.50
  6. Step 6: Final answer
    x = 30,405.85

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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.