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Finding the Fourth Proportional to 57,662.25, 86,493.95 and 20,223.22

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Solution

The fourth proportional to 57,662.25, 86,493.95 and 20,223.22 is: 30,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.25 : 86,493.95 = 20,223.22 : x
  2. Step 2: Convert to fraction form
    57,662.25/86,493.95 = 20,223.22/x
  3. Step 3: Cross multiply
    57,662.25x = 86,493.95 × 20,223.22
  4. Step 4: Simplify right side
    57,662.25x = 1,749,186,157.06
  5. Step 5: Solve for x
    x = 1,749,186,157.06/57,662.25
  6. Step 6: Final answer
    x = 30,335.03

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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.