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Finding the Fourth Proportional to 34,288.39, 47,324.15 and 20,142.01

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Solution

The fourth proportional to 34,288.39, 47,324.15 and 20,142.01 is: 27,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288.39 : 47,324.15 = 20,142.01 : x
  2. Step 2: Convert to fraction form
    34,288.39/47,324.15 = 20,142.01/x
  3. Step 3: Cross multiply
    34,288.39x = 47,324.15 × 20,142.01
  4. Step 4: Simplify right side
    34,288.39x = 953,203,502.54
  5. Step 5: Solve for x
    x = 953,203,502.54/34,288.39
  6. Step 6: Final answer
    x = 27,799.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.