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Finding the Fourth Proportional to 31,162.71, 42,989.60 and 22,651.64

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Solution

The fourth proportional to 31,162.71, 42,989.60 and 22,651.64 is: 31,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.71 : 42,989.60 = 22,651.64 : x
  2. Step 2: Convert to fraction form
    31,162.71/42,989.60 = 22,651.64/x
  3. Step 3: Cross multiply
    31,162.71x = 42,989.60 × 22,651.64
  4. Step 4: Simplify right side
    31,162.71x = 973,784,942.94
  5. Step 5: Solve for x
    x = 973,784,942.94/31,162.71
  6. Step 6: Final answer
    x = 31,248.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.