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Finding the Fourth Proportional to 32,564.92, 48,814.41 and 12,857.38

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Solution

The fourth proportional to 32,564.92, 48,814.41 and 12,857.38 is: 19,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.92 : 48,814.41 = 12,857.38 : x
  2. Step 2: Convert to fraction form
    32,564.92/48,814.41 = 12,857.38/x
  3. Step 3: Cross multiply
    32,564.92x = 48,814.41 × 12,857.38
  4. Step 4: Simplify right side
    32,564.92x = 627,625,418.85
  5. Step 5: Solve for x
    x = 627,625,418.85/32,564.92
  6. Step 6: Final answer
    x = 19,273.05

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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.