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Finding the Fourth Proportional to 31,786.59, 47,661.35 and 9,593.31

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Solution

The fourth proportional to 31,786.59, 47,661.35 and 9,593.31 is: 14,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786.59 : 47,661.35 = 9,593.31 : x
  2. Step 2: Convert to fraction form
    31,786.59/47,661.35 = 9,593.31/x
  3. Step 3: Cross multiply
    31,786.59x = 47,661.35 × 9,593.31
  4. Step 4: Simplify right side
    31,786.59x = 457,230,057.60
  5. Step 5: Solve for x
    x = 457,230,057.60/31,786.59
  6. Step 6: Final answer
    x = 14,384.37

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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.