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Finding the Fourth Proportional to 31,813.72, 47,647.91 and 15,185.46

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Solution

The fourth proportional to 31,813.72, 47,647.91 and 15,185.46 is: 22,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.72 : 47,647.91 = 15,185.46 : x
  2. Step 2: Convert to fraction form
    31,813.72/47,647.91 = 15,185.46/x
  3. Step 3: Cross multiply
    31,813.72x = 47,647.91 × 15,185.46
  4. Step 4: Simplify right side
    31,813.72x = 723,555,308.83
  5. Step 5: Solve for x
    x = 723,555,308.83/31,813.72
  6. Step 6: Final answer
    x = 22,743.50

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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.