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Finding the Fourth Proportional to 71,126.26, 106,747.74 and 36,075.94

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Solution

The fourth proportional to 71,126.26, 106,747.74 and 36,075.94 is: 54,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,126.26 : 106,747.74 = 36,075.94 : x
  2. Step 2: Convert to fraction form
    71,126.26/106,747.74 = 36,075.94/x
  3. Step 3: Cross multiply
    71,126.26x = 106,747.74 × 36,075.94
  4. Step 4: Simplify right side
    71,126.26x = 3,851,025,063.38
  5. Step 5: Solve for x
    x = 3,851,025,063.38/71,126.26
  6. Step 6: Final answer
    x = 54,143.51

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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.