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Finding the Fourth Proportional to 75,169, 103,733.42 and 41,635

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Solution

The fourth proportional to 75,169, 103,733.42 and 41,635 is: 57,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169 : 103,733.42 = 41,635 : x
  2. Step 2: Convert to fraction form
    75,169/103,733.42 = 41,635/x
  3. Step 3: Cross multiply
    75,169x = 103,733.42 × 41,635
  4. Step 4: Simplify right side
    75,169x = 4,318,940,941.70
  5. Step 5: Solve for x
    x = 4,318,940,941.70/75,169
  6. Step 6: Final answer
    x = 57,456.41

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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.