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Finding the Fourth Proportional to 31,884.60, 43,999.74 and 17,737.32

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Solution

The fourth proportional to 31,884.60, 43,999.74 and 17,737.32 is: 24,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.60 : 43,999.74 = 17,737.32 : x
  2. Step 2: Convert to fraction form
    31,884.60/43,999.74 = 17,737.32/x
  3. Step 3: Cross multiply
    31,884.60x = 43,999.74 × 17,737.32
  4. Step 4: Simplify right side
    31,884.60x = 780,437,468.30
  5. Step 5: Solve for x
    x = 780,437,468.30/31,884.60
  6. Step 6: Final answer
    x = 24,476.94

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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.