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Finding the Fourth Proportional to 55,013, 82,530.11 and 23,422.48

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Solution

The fourth proportional to 55,013, 82,530.11 and 23,422.48 is: 35,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,013 : 82,530.11 = 23,422.48 : x
  2. Step 2: Convert to fraction form
    55,013/82,530.11 = 23,422.48/x
  3. Step 3: Cross multiply
    55,013x = 82,530.11 × 23,422.48
  4. Step 4: Simplify right side
    55,013x = 1,933,059,321.11
  5. Step 5: Solve for x
    x = 1,933,059,321.11/55,013
  6. Step 6: Final answer
    x = 35,138.23

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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.