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Finding the Fourth Proportional to 34,340.40, 47,397.24 and 20,201.40

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Solution

The fourth proportional to 34,340.40, 47,397.24 and 20,201.40 is: 27,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.40 : 47,397.24 = 20,201.40 : x
  2. Step 2: Convert to fraction form
    34,340.40/47,397.24 = 20,201.40/x
  3. Step 3: Cross multiply
    34,340.40x = 47,397.24 × 20,201.40
  4. Step 4: Simplify right side
    34,340.40x = 957,490,604.14
  5. Step 5: Solve for x
    x = 957,490,604.14/34,340.40
  6. Step 6: Final answer
    x = 27,882.34

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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.