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Finding the Fourth Proportional to 50,257.76, 69,355.70 and 27,901.76

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Solution

The fourth proportional to 50,257.76, 69,355.70 and 27,901.76 is: 38,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,257.76 : 69,355.70 = 27,901.76 : x
  2. Step 2: Convert to fraction form
    50,257.76/69,355.70 = 27,901.76/x
  3. Step 3: Cross multiply
    50,257.76x = 69,355.70 × 27,901.76
  4. Step 4: Simplify right side
    50,257.76x = 1,935,146,096.03
  5. Step 5: Solve for x
    x = 1,935,146,096.03/50,257.76
  6. Step 6: Final answer
    x = 38,504.42

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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.