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Finding the Fourth Proportional to 31,704.98, 47,555.82 and 10,645.19

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Solution

The fourth proportional to 31,704.98, 47,555.82 and 10,645.19 is: 15,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.98 : 47,555.82 = 10,645.19 : x
  2. Step 2: Convert to fraction form
    31,704.98/47,555.82 = 10,645.19/x
  3. Step 3: Cross multiply
    31,704.98x = 47,555.82 × 10,645.19
  4. Step 4: Simplify right side
    31,704.98x = 506,240,501.73
  5. Step 5: Solve for x
    x = 506,240,501.73/31,704.98
  6. Step 6: Final answer
    x = 15,967.23

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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.