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Finding the Fourth Proportional to 83,138.44, 114,736.83 and 47,328.44

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Solution

The fourth proportional to 83,138.44, 114,736.83 and 47,328.44 is: 65,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.44 : 114,736.83 = 47,328.44 : x
  2. Step 2: Convert to fraction form
    83,138.44/114,736.83 = 47,328.44/x
  3. Step 3: Cross multiply
    83,138.44x = 114,736.83 × 47,328.44
  4. Step 4: Simplify right side
    83,138.44x = 5,430,315,174.45
  5. Step 5: Solve for x
    x = 5,430,315,174.45/83,138.44
  6. Step 6: Final answer
    x = 65,316.54

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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.