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Finding the Fourth Proportional to 31,634.84, 47,454.42 and 9,447.80

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Solution

The fourth proportional to 31,634.84, 47,454.42 and 9,447.80 is: 14,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.84 : 47,454.42 = 9,447.80 : x
  2. Step 2: Convert to fraction form
    31,634.84/47,454.42 = 9,447.80/x
  3. Step 3: Cross multiply
    31,634.84x = 47,454.42 × 9,447.80
  4. Step 4: Simplify right side
    31,634.84x = 448,339,869.28
  5. Step 5: Solve for x
    x = 448,339,869.28/31,634.84
  6. Step 6: Final answer
    x = 14,172.35

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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.