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Finding the Fourth Proportional to 114,131.93, 171,105.12 and 47,621.61

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Solution

The fourth proportional to 114,131.93, 171,105.12 and 47,621.61 is: 71,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,131.93 : 171,105.12 = 47,621.61 : x
  2. Step 2: Convert to fraction form
    114,131.93/171,105.12 = 47,621.61/x
  3. Step 3: Cross multiply
    114,131.93x = 171,105.12 × 47,621.61
  4. Step 4: Simplify right side
    114,131.93x = 8,148,301,293.64
  5. Step 5: Solve for x
    x = 8,148,301,293.64/114,131.93
  6. Step 6: Final answer
    x = 71,393.71

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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.