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Finding the Fourth Proportional to 34,265.98, 47,287.38 and 20,119.06

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Solution

The fourth proportional to 34,265.98, 47,287.38 and 20,119.06 is: 27,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.98 : 47,287.38 = 20,119.06 : x
  2. Step 2: Convert to fraction form
    34,265.98/47,287.38 = 20,119.06/x
  3. Step 3: Cross multiply
    34,265.98x = 47,287.38 × 20,119.06
  4. Step 4: Simplify right side
    34,265.98x = 951,377,635.46
  5. Step 5: Solve for x
    x = 951,377,635.46/34,265.98
  6. Step 6: Final answer
    x = 27,764.50

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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.