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Finding the Fourth Proportional to 50,458.22, 69,631.74 and 27,796.76

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Solution

The fourth proportional to 50,458.22, 69,631.74 and 27,796.76 is: 38,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.22 : 69,631.74 = 27,796.76 : x
  2. Step 2: Convert to fraction form
    50,458.22/69,631.74 = 27,796.76/x
  3. Step 3: Cross multiply
    50,458.22x = 69,631.74 × 27,796.76
  4. Step 4: Simplify right side
    50,458.22x = 1,935,536,765.16
  5. Step 5: Solve for x
    x = 1,935,536,765.16/50,458.22
  6. Step 6: Final answer
    x = 38,359.20

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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.