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Finding the Fourth Proportional to 31,646.21, 43,671.65 and 17,847.44

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Solution

The fourth proportional to 31,646.21, 43,671.65 and 17,847.44 is: 24,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.21 : 43,671.65 = 17,847.44 : x
  2. Step 2: Convert to fraction form
    31,646.21/43,671.65 = 17,847.44/x
  3. Step 3: Cross multiply
    31,646.21x = 43,671.65 × 17,847.44
  4. Step 4: Simplify right side
    31,646.21x = 779,427,153.08
  5. Step 5: Solve for x
    x = 779,427,153.08/31,646.21
  6. Step 6: Final answer
    x = 24,629.40

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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.