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Finding the Fourth Proportional to 73,789.11, 101,828.48 and 41,958

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Solution

The fourth proportional to 73,789.11, 101,828.48 and 41,958 is: 57,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,789.11 : 101,828.48 = 41,958 : x
  2. Step 2: Convert to fraction form
    73,789.11/101,828.48 = 41,958/x
  3. Step 3: Cross multiply
    73,789.11x = 101,828.48 × 41,958
  4. Step 4: Simplify right side
    73,789.11x = 4,272,519,154.05
  5. Step 5: Solve for x
    x = 4,272,519,154.05/73,789.11
  6. Step 6: Final answer
    x = 57,901.76

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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.