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Finding the Fourth Proportional to 34,471.83, 47,563.74 and 20,125.14

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Solution

The fourth proportional to 34,471.83, 47,563.74 and 20,125.14 is: 27,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.83 : 47,563.74 = 20,125.14 : x
  2. Step 2: Convert to fraction form
    34,471.83/47,563.74 = 20,125.14/x
  3. Step 3: Cross multiply
    34,471.83x = 47,563.74 × 20,125.14
  4. Step 4: Simplify right side
    34,471.83x = 957,227,104.79
  5. Step 5: Solve for x
    x = 957,227,104.79/34,471.83
  6. Step 6: Final answer
    x = 27,768.39

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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.