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Finding the Fourth Proportional to 31,920.96, 44,051.24 and 19,991.28

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Solution

The fourth proportional to 31,920.96, 44,051.24 and 19,991.28 is: 27,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.96 : 44,051.24 = 19,991.28 : x
  2. Step 2: Convert to fraction form
    31,920.96/44,051.24 = 19,991.28/x
  3. Step 3: Cross multiply
    31,920.96x = 44,051.24 × 19,991.28
  4. Step 4: Simplify right side
    31,920.96x = 880,640,673.19
  5. Step 5: Solve for x
    x = 880,640,673.19/31,920.96
  6. Step 6: Final answer
    x = 27,588.16

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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.