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Finding the Fourth Proportional to 31,756.50, 47,634.66 and 8,382.78

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Solution

The fourth proportional to 31,756.50, 47,634.66 and 8,382.78 is: 12,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.50 : 47,634.66 = 8,382.78 : x
  2. Step 2: Convert to fraction form
    31,756.50/47,634.66 = 8,382.78/x
  3. Step 3: Cross multiply
    31,756.50x = 47,634.66 × 8,382.78
  4. Step 4: Simplify right side
    31,756.50x = 399,310,875.15
  5. Step 5: Solve for x
    x = 399,310,875.15/31,756.50
  6. Step 6: Final answer
    x = 12,574.15

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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.