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Finding the Fourth Proportional to 36,142.50, 49,907.43 and 22,736.19

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Solution

The fourth proportional to 36,142.50, 49,907.43 and 22,736.19 is: 31,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.50 : 49,907.43 = 22,736.19 : x
  2. Step 2: Convert to fraction form
    36,142.50/49,907.43 = 22,736.19/x
  3. Step 3: Cross multiply
    36,142.50x = 49,907.43 × 22,736.19
  4. Step 4: Simplify right side
    36,142.50x = 1,134,704,810.89
  5. Step 5: Solve for x
    x = 1,134,704,810.89/36,142.50
  6. Step 6: Final answer
    x = 31,395.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.