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Finding the Fourth Proportional to 31,759.98, 47,633.02 and 13,021.58

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Solution

The fourth proportional to 31,759.98, 47,633.02 and 13,021.58 is: 19,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.98 : 47,633.02 = 13,021.58 : x
  2. Step 2: Convert to fraction form
    31,759.98/47,633.02 = 13,021.58/x
  3. Step 3: Cross multiply
    31,759.98x = 47,633.02 × 13,021.58
  4. Step 4: Simplify right side
    31,759.98x = 620,256,909.85
  5. Step 5: Solve for x
    x = 620,256,909.85/31,759.98
  6. Step 6: Final answer
    x = 19,529.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.