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Finding the Fourth Proportional to 75,456, 104,132.52 and 41,922

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Solution

The fourth proportional to 75,456, 104,132.52 and 41,922 is: 57,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 104,132.52 = 41,922 : x
  2. Step 2: Convert to fraction form
    75,456/104,132.52 = 41,922/x
  3. Step 3: Cross multiply
    75,456x = 104,132.52 × 41,922
  4. Step 4: Simplify right side
    75,456x = 4,365,443,503.44
  5. Step 5: Solve for x
    x = 4,365,443,503.44/75,456
  6. Step 6: Final answer
    x = 57,854.16

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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.