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Finding the Fourth Proportional to 31,884.36, 44,002.46 and 17,737.20

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Solution

The fourth proportional to 31,884.36, 44,002.46 and 17,737.20 is: 24,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.36 : 44,002.46 = 17,737.20 : x
  2. Step 2: Convert to fraction form
    31,884.36/44,002.46 = 17,737.20/x
  3. Step 3: Cross multiply
    31,884.36x = 44,002.46 × 17,737.20
  4. Step 4: Simplify right side
    31,884.36x = 780,480,433.51
  5. Step 5: Solve for x
    x = 780,480,433.51/31,884.36
  6. Step 6: Final answer
    x = 24,478.47

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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.