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Finding the Fourth Proportional to 27,851.59, 41,777.29 and 7,075.09

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Solution

The fourth proportional to 27,851.59, 41,777.29 and 7,075.09 is: 10,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.59 : 41,777.29 = 7,075.09 : x
  2. Step 2: Convert to fraction form
    27,851.59/41,777.29 = 7,075.09/x
  3. Step 3: Cross multiply
    27,851.59x = 41,777.29 × 7,075.09
  4. Step 4: Simplify right side
    27,851.59x = 295,578,086.71
  5. Step 5: Solve for x
    x = 295,578,086.71/27,851.59
  6. Step 6: Final answer
    x = 10,612.61

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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.