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Finding the Fourth Proportional to 57,529, 86,168.86 and 27,884.82

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Solution

The fourth proportional to 57,529, 86,168.86 and 27,884.82 is: 41,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,529 : 86,168.86 = 27,884.82 : x
  2. Step 2: Convert to fraction form
    57,529/86,168.86 = 27,884.82/x
  3. Step 3: Cross multiply
    57,529x = 86,168.86 × 27,884.82
  4. Step 4: Simplify right side
    57,529x = 2,402,803,150.71
  5. Step 5: Solve for x
    x = 2,402,803,150.71/57,529
  6. Step 6: Final answer
    x = 41,766.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.