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Finding the Fourth Proportional to 34,203.39, 47,198.25 and 20,053.50

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Solution

The fourth proportional to 34,203.39, 47,198.25 and 20,053.50 is: 27,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,203.39 : 47,198.25 = 20,053.50 : x
  2. Step 2: Convert to fraction form
    34,203.39/47,198.25 = 20,053.50/x
  3. Step 3: Cross multiply
    34,203.39x = 47,198.25 × 20,053.50
  4. Step 4: Simplify right side
    34,203.39x = 946,490,106.38
  5. Step 5: Solve for x
    x = 946,490,106.38/34,203.39
  6. Step 6: Final answer
    x = 27,672.41

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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.