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Finding the Fourth Proportional to 27,075.14, 40,610.06 and 8,350.14

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Solution

The fourth proportional to 27,075.14, 40,610.06 and 8,350.14 is: 12,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075.14 : 40,610.06 = 8,350.14 : x
  2. Step 2: Convert to fraction form
    27,075.14/40,610.06 = 8,350.14/x
  3. Step 3: Cross multiply
    27,075.14x = 40,610.06 × 8,350.14
  4. Step 4: Simplify right side
    27,075.14x = 339,099,686.41
  5. Step 5: Solve for x
    x = 339,099,686.41/27,075.14
  6. Step 6: Final answer
    x = 12,524.39

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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.