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Finding the Fourth Proportional to 31,759.56, 47,605.74 and 10,679.52

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Solution

The fourth proportional to 31,759.56, 47,605.74 and 10,679.52 is: 16,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.56 : 47,605.74 = 10,679.52 : x
  2. Step 2: Convert to fraction form
    31,759.56/47,605.74 = 10,679.52/x
  3. Step 3: Cross multiply
    31,759.56x = 47,605.74 × 10,679.52
  4. Step 4: Simplify right side
    31,759.56x = 508,406,452.44
  5. Step 5: Solve for x
    x = 508,406,452.44/31,759.56
  6. Step 6: Final answer
    x = 16,007.98

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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.