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Finding the Fourth Proportional to 57,309.48, 85,949.64 and 22,230

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Solution

The fourth proportional to 57,309.48, 85,949.64 and 22,230 is: 33,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.48 : 85,949.64 = 22,230 : x
  2. Step 2: Convert to fraction form
    57,309.48/85,949.64 = 22,230/x
  3. Step 3: Cross multiply
    57,309.48x = 85,949.64 × 22,230
  4. Step 4: Simplify right side
    57,309.48x = 1,910,660,497.20
  5. Step 5: Solve for x
    x = 1,910,660,497.20/57,309.48
  6. Step 6: Final answer
    x = 33,339.34

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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.