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Finding the Fourth Proportional to 75,642.10, 104,385.26 and 41,649.90

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Solution

The fourth proportional to 75,642.10, 104,385.26 and 41,649.90 is: 57,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.10 : 104,385.26 = 41,649.90 : x
  2. Step 2: Convert to fraction form
    75,642.10/104,385.26 = 41,649.90/x
  3. Step 3: Cross multiply
    75,642.10x = 104,385.26 × 41,649.90
  4. Step 4: Simplify right side
    75,642.10x = 4,347,635,118.87
  5. Step 5: Solve for x
    x = 4,347,635,118.87/75,642.10
  6. Step 6: Final answer
    x = 57,476.39

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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.