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Finding the Fourth Proportional to 27,750.89, 41,626.34 and 9,032.80

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Solution

The fourth proportional to 27,750.89, 41,626.34 and 9,032.80 is: 13,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750.89 : 41,626.34 = 9,032.80 : x
  2. Step 2: Convert to fraction form
    27,750.89/41,626.34 = 9,032.80/x
  3. Step 3: Cross multiply
    27,750.89x = 41,626.34 × 9,032.80
  4. Step 4: Simplify right side
    27,750.89x = 376,002,403.95
  5. Step 5: Solve for x
    x = 376,002,403.95/27,750.89
  6. Step 6: Final answer
    x = 13,549.20

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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.