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Finding the Fourth Proportional to 36,033.12, 49,736.16 and 20,929.20

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Solution

The fourth proportional to 36,033.12, 49,736.16 and 20,929.20 is: 28,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033.12 : 49,736.16 = 20,929.20 : x
  2. Step 2: Convert to fraction form
    36,033.12/49,736.16 = 20,929.20/x
  3. Step 3: Cross multiply
    36,033.12x = 49,736.16 × 20,929.20
  4. Step 4: Simplify right side
    36,033.12x = 1,040,938,039.87
  5. Step 5: Solve for x
    x = 1,040,938,039.87/36,033.12
  6. Step 6: Final answer
    x = 28,888.37

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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.