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Finding the Fourth Proportional to 57,214.30, 78,960.39 and 31,728.66

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Solution

The fourth proportional to 57,214.30, 78,960.39 and 31,728.66 is: 43,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.30 : 78,960.39 = 31,728.66 : x
  2. Step 2: Convert to fraction form
    57,214.30/78,960.39 = 31,728.66/x
  3. Step 3: Cross multiply
    57,214.30x = 78,960.39 × 31,728.66
  4. Step 4: Simplify right side
    57,214.30x = 2,505,307,367.78
  5. Step 5: Solve for x
    x = 2,505,307,367.78/57,214.30
  6. Step 6: Final answer
    x = 43,788.13

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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.