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Finding the Fourth Proportional to 75,917.76, 104,766.12 and 42,383.76

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Solution

The fourth proportional to 75,917.76, 104,766.12 and 42,383.76 is: 58,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917.76 : 104,766.12 = 42,383.76 : x
  2. Step 2: Convert to fraction form
    75,917.76/104,766.12 = 42,383.76/x
  3. Step 3: Cross multiply
    75,917.76x = 104,766.12 × 42,383.76
  4. Step 4: Simplify right side
    75,917.76x = 4,440,382,086.21
  5. Step 5: Solve for x
    x = 4,440,382,086.21/75,917.76
  6. Step 6: Final answer
    x = 58,489.37

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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.