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Finding the Fourth Proportional to 80,949.38, 111,710.15 and 47,415.38

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Solution

The fourth proportional to 80,949.38, 111,710.15 and 47,415.38 is: 65,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,949.38 : 111,710.15 = 47,415.38 : x
  2. Step 2: Convert to fraction form
    80,949.38/111,710.15 = 47,415.38/x
  3. Step 3: Cross multiply
    80,949.38x = 111,710.15 × 47,415.38
  4. Step 4: Simplify right side
    80,949.38x = 5,296,778,416.48
  5. Step 5: Solve for x
    x = 5,296,778,416.48/80,949.38
  6. Step 6: Final answer
    x = 65,433.22

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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.