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Finding the Fourth Proportional to 56,777.26, 85,202.34 and 38,078.42

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Solution

The fourth proportional to 56,777.26, 85,202.34 and 38,078.42 is: 57,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,777.26 : 85,202.34 = 38,078.42 : x
  2. Step 2: Convert to fraction form
    56,777.26/85,202.34 = 38,078.42/x
  3. Step 3: Cross multiply
    56,777.26x = 85,202.34 × 38,078.42
  4. Step 4: Simplify right side
    56,777.26x = 3,244,370,487.50
  5. Step 5: Solve for x
    x = 3,244,370,487.50/56,777.26
  6. Step 6: Final answer
    x = 57,142.08

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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.