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Finding the Fourth Proportional to 75,179.33, 103,747.42 and 41,189.93

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Solution

The fourth proportional to 75,179.33, 103,747.42 and 41,189.93 is: 56,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,179.33 : 103,747.42 = 41,189.93 : x
  2. Step 2: Convert to fraction form
    75,179.33/103,747.42 = 41,189.93/x
  3. Step 3: Cross multiply
    75,179.33x = 103,747.42 × 41,189.93
  4. Step 4: Simplify right side
    75,179.33x = 4,273,349,123.87
  5. Step 5: Solve for x
    x = 4,273,349,123.87/75,179.33
  6. Step 6: Final answer
    x = 56,842.07

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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.