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Finding the Fourth Proportional to 31,950.96, 44,091.73 and 17,415.27

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Solution

The fourth proportional to 31,950.96, 44,091.73 and 17,415.27 is: 24,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.96 : 44,091.73 = 17,415.27 : x
  2. Step 2: Convert to fraction form
    31,950.96/44,091.73 = 17,415.27/x
  3. Step 3: Cross multiply
    31,950.96x = 44,091.73 × 17,415.27
  4. Step 4: Simplify right side
    31,950.96x = 767,869,162.26
  5. Step 5: Solve for x
    x = 767,869,162.26/31,950.96
  6. Step 6: Final answer
    x = 24,032.74

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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.