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Finding the Fourth Proportional to 83,198.97, 114,814.62 and 47,392.34

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Solution

The fourth proportional to 83,198.97, 114,814.62 and 47,392.34 is: 65,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.97 : 114,814.62 = 47,392.34 : x
  2. Step 2: Convert to fraction form
    83,198.97/114,814.62 = 47,392.34/x
  3. Step 3: Cross multiply
    83,198.97x = 114,814.62 × 47,392.34
  4. Step 4: Simplify right side
    83,198.97x = 5,441,332,933.94
  5. Step 5: Solve for x
    x = 5,441,332,933.94/83,198.97
  6. Step 6: Final answer
    x = 65,401.45

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1.5x scale

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.