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Finding the Fourth Proportional to 75,636.41, 104,377.38 and 41,644.20

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Solution

The fourth proportional to 75,636.41, 104,377.38 and 41,644.20 is: 57,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636.41 : 104,377.38 = 41,644.20 : x
  2. Step 2: Convert to fraction form
    75,636.41/104,377.38 = 41,644.20/x
  3. Step 3: Cross multiply
    75,636.41x = 104,377.38 × 41,644.20
  4. Step 4: Simplify right side
    75,636.41x = 4,346,712,781.26
  5. Step 5: Solve for x
    x = 4,346,712,781.26/75,636.41
  6. Step 6: Final answer
    x = 57,468.52

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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.