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Finding the Fourth Proportional to 31,977.40, 44,127.84 and 17,832.64

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Solution

The fourth proportional to 31,977.40, 44,127.84 and 17,832.64 is: 24,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.40 : 44,127.84 = 17,832.64 : x
  2. Step 2: Convert to fraction form
    31,977.40/44,127.84 = 17,832.64/x
  3. Step 3: Cross multiply
    31,977.40x = 44,127.84 × 17,832.64
  4. Step 4: Simplify right side
    31,977.40x = 786,915,884.70
  5. Step 5: Solve for x
    x = 786,915,884.70/31,977.40
  6. Step 6: Final answer
    x = 24,608.50

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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.