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Finding the Fourth Proportional to 26,701.75, 40,055.37 and 10,075.78

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Solution

The fourth proportional to 26,701.75, 40,055.37 and 10,075.78 is: 15,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,701.75 : 40,055.37 = 10,075.78 : x
  2. Step 2: Convert to fraction form
    26,701.75/40,055.37 = 10,075.78/x
  3. Step 3: Cross multiply
    26,701.75x = 40,055.37 × 10,075.78
  4. Step 4: Simplify right side
    26,701.75x = 403,589,095.94
  5. Step 5: Solve for x
    x = 403,589,095.94/26,701.75
  6. Step 6: Final answer
    x = 15,114.71

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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.