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Finding the Fourth Proportional to 57,803.20, 86,683.20 and 22,735.60

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Solution

The fourth proportional to 57,803.20, 86,683.20 and 22,735.60 is: 34,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,803.20 : 86,683.20 = 22,735.60 : x
  2. Step 2: Convert to fraction form
    57,803.20/86,683.20 = 22,735.60/x
  3. Step 3: Cross multiply
    57,803.20x = 86,683.20 × 22,735.60
  4. Step 4: Simplify right side
    57,803.20x = 1,970,794,561.92
  5. Step 5: Solve for x
    x = 1,970,794,561.92/57,803.20
  6. Step 6: Final answer
    x = 34,094.90

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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.