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Finding the Fourth Proportional to 114,393.86, 171,589.92 and 34,431.49

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Solution

The fourth proportional to 114,393.86, 171,589.92 and 34,431.49 is: 51,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,393.86 : 171,589.92 = 34,431.49 : x
  2. Step 2: Convert to fraction form
    114,393.86/171,589.92 = 34,431.49/x
  3. Step 3: Cross multiply
    114,393.86x = 171,589.92 × 34,431.49
  4. Step 4: Simplify right side
    114,393.86x = 5,908,096,614.58
  5. Step 5: Solve for x
    x = 5,908,096,614.58/114,393.86
  6. Step 6: Final answer
    x = 51,646.97

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1.5x scale

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.