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Finding the Fourth Proportional to 31,586.12, 47,338.09 and 12,844.31

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Solution

The fourth proportional to 31,586.12, 47,338.09 and 12,844.31 is: 19,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.12 : 47,338.09 = 12,844.31 : x
  2. Step 2: Convert to fraction form
    31,586.12/47,338.09 = 12,844.31/x
  3. Step 3: Cross multiply
    31,586.12x = 47,338.09 × 12,844.31
  4. Step 4: Simplify right side
    31,586.12x = 608,024,833.97
  5. Step 5: Solve for x
    x = 608,024,833.97/31,586.12
  6. Step 6: Final answer
    x = 19,249.75

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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.