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Finding the Fourth Proportional to 57,230.90, 85,822.05 and 27,657.80

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Solution

The fourth proportional to 57,230.90, 85,822.05 and 27,657.80 is: 41,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.90 : 85,822.05 = 27,657.80 : x
  2. Step 2: Convert to fraction form
    57,230.90/85,822.05 = 27,657.80/x
  3. Step 3: Cross multiply
    57,230.90x = 85,822.05 × 27,657.80
  4. Step 4: Simplify right side
    57,230.90x = 2,373,649,094.49
  5. Step 5: Solve for x
    x = 2,373,649,094.49/57,230.90
  6. Step 6: Final answer
    x = 41,474.96

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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.