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Finding the Fourth Proportional to 75,188.70, 103,764.76 and 41,197.25

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Solution

The fourth proportional to 75,188.70, 103,764.76 and 41,197.25 is: 56,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188.70 : 103,764.76 = 41,197.25 : x
  2. Step 2: Convert to fraction form
    75,188.70/103,764.76 = 41,197.25/x
  3. Step 3: Cross multiply
    75,188.70x = 103,764.76 × 41,197.25
  4. Step 4: Simplify right side
    75,188.70x = 4,274,822,915.33
  5. Step 5: Solve for x
    x = 4,274,822,915.33/75,188.70
  6. Step 6: Final answer
    x = 56,854.59

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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.