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Finding the Fourth Proportional to 31,908.10, 44,032.43 and 17,760.64

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Solution

The fourth proportional to 31,908.10, 44,032.43 and 17,760.64 is: 24,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.10 : 44,032.43 = 17,760.64 : x
  2. Step 2: Convert to fraction form
    31,908.10/44,032.43 = 17,760.64/x
  3. Step 3: Cross multiply
    31,908.10x = 44,032.43 × 17,760.64
  4. Step 4: Simplify right side
    31,908.10x = 782,044,137.56
  5. Step 5: Solve for x
    x = 782,044,137.56/31,908.10
  6. Step 6: Final answer
    x = 24,509.27

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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.