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Finding the Fourth Proportional to 84,942, 117,219.96 and 47,223.54

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Solution

The fourth proportional to 84,942, 117,219.96 and 47,223.54 is: 65,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,942 : 117,219.96 = 47,223.54 : x
  2. Step 2: Convert to fraction form
    84,942/117,219.96 = 47,223.54/x
  3. Step 3: Cross multiply
    84,942x = 117,219.96 × 47,223.54
  4. Step 4: Simplify right side
    84,942x = 5,535,541,469.86
  5. Step 5: Solve for x
    x = 5,535,541,469.86/84,942
  6. Step 6: Final answer
    x = 65,168.49

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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.