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Finding the Fourth Proportional to 31,752.57, 47,634.12 and 10,694.39

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Solution

The fourth proportional to 31,752.57, 47,634.12 and 10,694.39 is: 16,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.57 : 47,634.12 = 10,694.39 : x
  2. Step 2: Convert to fraction form
    31,752.57/47,634.12 = 10,694.39/x
  3. Step 3: Cross multiply
    31,752.57x = 47,634.12 × 10,694.39
  4. Step 4: Simplify right side
    31,752.57x = 509,417,975.67
  5. Step 5: Solve for x
    x = 509,417,975.67/31,752.57
  6. Step 6: Final answer
    x = 16,043.36

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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.