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Finding the Fourth Proportional to 57,093.62, 78,789.39 and 31,941.50

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Solution

The fourth proportional to 57,093.62, 78,789.39 and 31,941.50 is: 44,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093.62 : 78,789.39 = 31,941.50 : x
  2. Step 2: Convert to fraction form
    57,093.62/78,789.39 = 31,941.50/x
  3. Step 3: Cross multiply
    57,093.62x = 78,789.39 × 31,941.50
  4. Step 4: Simplify right side
    57,093.62x = 2,516,651,300.69
  5. Step 5: Solve for x
    x = 2,516,651,300.69/57,093.62
  6. Step 6: Final answer
    x = 44,079.38

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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.