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Finding the Fourth Proportional to 75,735.36, 104,384.16 and 56,839.68

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Solution

The fourth proportional to 75,735.36, 104,384.16 and 56,839.68 is: 78,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,735.36 : 104,384.16 = 56,839.68 : x
  2. Step 2: Convert to fraction form
    75,735.36/104,384.16 = 56,839.68/x
  3. Step 3: Cross multiply
    75,735.36x = 104,384.16 × 56,839.68
  4. Step 4: Simplify right side
    75,735.36x = 5,933,162,251.47
  5. Step 5: Solve for x
    x = 5,933,162,251.47/75,735.36
  6. Step 6: Final answer
    x = 78,340.71

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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.