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Finding the Fourth Proportional to 75,161, 103,725.42 and 41,627

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Solution

The fourth proportional to 75,161, 103,725.42 and 41,627 is: 57,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161 : 103,725.42 = 41,627 : x
  2. Step 2: Convert to fraction form
    75,161/103,725.42 = 41,627/x
  3. Step 3: Cross multiply
    75,161x = 103,725.42 × 41,627
  4. Step 4: Simplify right side
    75,161x = 4,317,778,058.34
  5. Step 5: Solve for x
    x = 4,317,778,058.34/75,161
  6. Step 6: Final answer
    x = 57,447.05

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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.