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Finding the Fourth Proportional to 35,975.20, 49,634.40 and 21,827.20

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Solution

The fourth proportional to 35,975.20, 49,634.40 and 21,827.20 is: 30,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.20 : 49,634.40 = 21,827.20 : x
  2. Step 2: Convert to fraction form
    35,975.20/49,634.40 = 21,827.20/x
  3. Step 3: Cross multiply
    35,975.20x = 49,634.40 × 21,827.20
  4. Step 4: Simplify right side
    35,975.20x = 1,083,379,975.68
  5. Step 5: Solve for x
    x = 1,083,379,975.68/35,975.20
  6. Step 6: Final answer
    x = 30,114.63

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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.