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Finding the Fourth Proportional to 34,414.38, 47,486.07 and 20,270.01

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Solution

The fourth proportional to 34,414.38, 47,486.07 and 20,270.01 is: 27,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.38 : 47,486.07 = 20,270.01 : x
  2. Step 2: Convert to fraction form
    34,414.38/47,486.07 = 20,270.01/x
  3. Step 3: Cross multiply
    34,414.38x = 47,486.07 × 20,270.01
  4. Step 4: Simplify right side
    34,414.38x = 962,543,113.76
  5. Step 5: Solve for x
    x = 962,543,113.76/34,414.38
  6. Step 6: Final answer
    x = 27,969.21

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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.