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Finding the Fourth Proportional to 35,578.44, 49,104 and 21,434.04

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Solution

The fourth proportional to 35,578.44, 49,104 and 21,434.04 is: 29,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.44 : 49,104 = 21,434.04 : x
  2. Step 2: Convert to fraction form
    35,578.44/49,104 = 21,434.04/x
  3. Step 3: Cross multiply
    35,578.44x = 49,104 × 21,434.04
  4. Step 4: Simplify right side
    35,578.44x = 1,052,497,100.16
  5. Step 5: Solve for x
    x = 1,052,497,100.16/35,578.44
  6. Step 6: Final answer
    x = 29,582.44

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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.