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Finding the Fourth Proportional to 31,960.96, 44,105.92 and 17,813.60

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Solution

The fourth proportional to 31,960.96, 44,105.92 and 17,813.60 is: 24,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.96 : 44,105.92 = 17,813.60 : x
  2. Step 2: Convert to fraction form
    31,960.96/44,105.92 = 17,813.60/x
  3. Step 3: Cross multiply
    31,960.96x = 44,105.92 × 17,813.60
  4. Step 4: Simplify right side
    31,960.96x = 785,685,216.51
  5. Step 5: Solve for x
    x = 785,685,216.51/31,960.96
  6. Step 6: Final answer
    x = 24,582.65

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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.