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Finding the Fourth Proportional to 31,696.28, 47,544.60 and 8,322.20

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Solution

The fourth proportional to 31,696.28, 47,544.60 and 8,322.20 is: 12,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.28 : 47,544.60 = 8,322.20 : x
  2. Step 2: Convert to fraction form
    31,696.28/47,544.60 = 8,322.20/x
  3. Step 3: Cross multiply
    31,696.28x = 47,544.60 × 8,322.20
  4. Step 4: Simplify right side
    31,696.28x = 395,675,670.12
  5. Step 5: Solve for x
    x = 395,675,670.12/31,696.28
  6. Step 6: Final answer
    x = 12,483.35

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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.