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Finding the Fourth Proportional to 75,915.43, 104,764.13 and 41,923.86

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Solution

The fourth proportional to 75,915.43, 104,764.13 and 41,923.86 is: 57,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,915.43 : 104,764.13 = 41,923.86 : x
  2. Step 2: Convert to fraction form
    75,915.43/104,764.13 = 41,923.86/x
  3. Step 3: Cross multiply
    75,915.43x = 104,764.13 × 41,923.86
  4. Step 4: Simplify right side
    75,915.43x = 4,392,116,719.14
  5. Step 5: Solve for x
    x = 4,392,116,719.14/75,915.43
  6. Step 6: Final answer
    x = 57,855.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.