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Finding the Fourth Proportional to 75,123, 103,673.16 and 41,589

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Solution

The fourth proportional to 75,123, 103,673.16 and 41,589 is: 57,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123 : 103,673.16 = 41,589 : x
  2. Step 2: Convert to fraction form
    75,123/103,673.16 = 41,589/x
  3. Step 3: Cross multiply
    75,123x = 103,673.16 × 41,589
  4. Step 4: Simplify right side
    75,123x = 4,311,663,051.24
  5. Step 5: Solve for x
    x = 4,311,663,051.24/75,123
  6. Step 6: Final answer
    x = 57,394.71

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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.