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Finding the Fourth Proportional to 31,668.76, 47,499.49 and 8,297.02

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Solution

The fourth proportional to 31,668.76, 47,499.49 and 8,297.02 is: 12,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.76 : 47,499.49 = 8,297.02 : x
  2. Step 2: Convert to fraction form
    31,668.76/47,499.49 = 8,297.02/x
  3. Step 3: Cross multiply
    31,668.76x = 47,499.49 × 8,297.02
  4. Step 4: Simplify right side
    31,668.76x = 394,104,218.52
  5. Step 5: Solve for x
    x = 394,104,218.52/31,668.76
  6. Step 6: Final answer
    x = 12,444.57

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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.