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Finding the Fourth Proportional to 75,486.56, 104,172 and 41,495.68

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Solution

The fourth proportional to 75,486.56, 104,172 and 41,495.68 is: 57,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.56 : 104,172 = 41,495.68 : x
  2. Step 2: Convert to fraction form
    75,486.56/104,172 = 41,495.68/x
  3. Step 3: Cross multiply
    75,486.56x = 104,172 × 41,495.68
  4. Step 4: Simplify right side
    75,486.56x = 4,322,687,976.96
  5. Step 5: Solve for x
    x = 4,322,687,976.96/75,486.56
  6. Step 6: Final answer
    x = 57,264.34

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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.