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Finding the Fourth Proportional to 27,605.40, 41,408.78 and 10,075.22

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Solution

The fourth proportional to 27,605.40, 41,408.78 and 10,075.22 is: 15,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.40 : 41,408.78 = 10,075.22 : x
  2. Step 2: Convert to fraction form
    27,605.40/41,408.78 = 10,075.22/x
  3. Step 3: Cross multiply
    27,605.40x = 41,408.78 × 10,075.22
  4. Step 4: Simplify right side
    27,605.40x = 417,202,568.43
  5. Step 5: Solve for x
    x = 417,202,568.43/27,605.40
  6. Step 6: Final answer
    x = 15,113.08

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1.5x scale

Why These Related Problems?

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