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Finding the Fourth Proportional to 31,651.74, 47,484 and 14,121.57

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Solution

The fourth proportional to 31,651.74, 47,484 and 14,121.57 is: 21,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.74 : 47,484 = 14,121.57 : x
  2. Step 2: Convert to fraction form
    31,651.74/47,484 = 14,121.57/x
  3. Step 3: Cross multiply
    31,651.74x = 47,484 × 14,121.57
  4. Step 4: Simplify right side
    31,651.74x = 670,548,629.88
  5. Step 5: Solve for x
    x = 670,548,629.88/31,651.74
  6. Step 6: Final answer
    x = 21,185.21

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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.