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Finding the Fourth Proportional to 31,687.26, 47,533.77 and 9,499.74

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Solution

The fourth proportional to 31,687.26, 47,533.77 and 9,499.74 is: 14,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.26 : 47,533.77 = 9,499.74 : x
  2. Step 2: Convert to fraction form
    31,687.26/47,533.77 = 9,499.74/x
  3. Step 3: Cross multiply
    31,687.26x = 47,533.77 × 9,499.74
  4. Step 4: Simplify right side
    31,687.26x = 451,558,456.22
  5. Step 5: Solve for x
    x = 451,558,456.22/31,687.26
  6. Step 6: Final answer
    x = 14,250.47

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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.