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Finding the Fourth Proportional to 31,696.22, 47,544.60 and 8,322.50

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Solution

The fourth proportional to 31,696.22, 47,544.60 and 8,322.50 is: 12,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.22 : 47,544.60 = 8,322.50 : x
  2. Step 2: Convert to fraction form
    31,696.22/47,544.60 = 8,322.50/x
  3. Step 3: Cross multiply
    31,696.22x = 47,544.60 × 8,322.50
  4. Step 4: Simplify right side
    31,696.22x = 395,689,933.50
  5. Step 5: Solve for x
    x = 395,689,933.50/31,696.22
  6. Step 6: Final answer
    x = 12,483.82

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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.