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Finding the Fourth Proportional to 57,102.20, 85,653.30 and 20,166.20

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Solution

The fourth proportional to 57,102.20, 85,653.30 and 20,166.20 is: 30,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.20 : 85,653.30 = 20,166.20 : x
  2. Step 2: Convert to fraction form
    57,102.20/85,653.30 = 20,166.20/x
  3. Step 3: Cross multiply
    57,102.20x = 85,653.30 × 20,166.20
  4. Step 4: Simplify right side
    57,102.20x = 1,727,301,578.46
  5. Step 5: Solve for x
    x = 1,727,301,578.46/57,102.20
  6. Step 6: Final answer
    x = 30,249.30

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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.