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Finding the Fourth Proportional to 57,093.76, 78,791.52 and 31,943.44

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Solution

The fourth proportional to 57,093.76, 78,791.52 and 31,943.44 is: 44,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093.76 : 78,791.52 = 31,943.44 : x
  2. Step 2: Convert to fraction form
    57,093.76/78,791.52 = 31,943.44/x
  3. Step 3: Cross multiply
    57,093.76x = 78,791.52 × 31,943.44
  4. Step 4: Simplify right side
    57,093.76x = 2,516,872,191.63
  5. Step 5: Solve for x
    x = 2,516,872,191.63/57,093.76
  6. Step 6: Final answer
    x = 44,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.