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Finding the Fourth Proportional to 27,735.54, 41,593.05 and 9,010.77

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Solution

The fourth proportional to 27,735.54, 41,593.05 and 9,010.77 is: 13,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.54 : 41,593.05 = 9,010.77 : x
  2. Step 2: Convert to fraction form
    27,735.54/41,593.05 = 9,010.77/x
  3. Step 3: Cross multiply
    27,735.54x = 41,593.05 × 9,010.77
  4. Step 4: Simplify right side
    27,735.54x = 374,785,407.15
  5. Step 5: Solve for x
    x = 374,785,407.15/27,735.54
  6. Step 6: Final answer
    x = 13,512.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.