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Finding the Fourth Proportional to 40,091.52, 55,262.40 and 31,580.16

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Solution

The fourth proportional to 40,091.52, 55,262.40 and 31,580.16 is: 43,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,091.52 : 55,262.40 = 31,580.16 : x
  2. Step 2: Convert to fraction form
    40,091.52/55,262.40 = 31,580.16/x
  3. Step 3: Cross multiply
    40,091.52x = 55,262.40 × 31,580.16
  4. Step 4: Simplify right side
    40,091.52x = 1,745,195,433.98
  5. Step 5: Solve for x
    x = 1,745,195,433.98/40,091.52
  6. Step 6: Final answer
    x = 43,530.29

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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.