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Finding the Fourth Proportional to 114,371.70, 171,568.95 and 47,832.66

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Solution

The fourth proportional to 114,371.70, 171,568.95 and 47,832.66 is: 71,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,371.70 : 171,568.95 = 47,832.66 : x
  2. Step 2: Convert to fraction form
    114,371.70/171,568.95 = 47,832.66/x
  3. Step 3: Cross multiply
    114,371.70x = 171,568.95 × 47,832.66
  4. Step 4: Simplify right side
    114,371.70x = 8,206,599,251.91
  5. Step 5: Solve for x
    x = 8,206,599,251.91/114,371.70
  6. Step 6: Final answer
    x = 71,753.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.