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Finding the Fourth Proportional to 35,736.29, 49,295.46 and 22,284.19

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Solution

The fourth proportional to 35,736.29, 49,295.46 and 22,284.19 is: 30,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.29 : 49,295.46 = 22,284.19 : x
  2. Step 2: Convert to fraction form
    35,736.29/49,295.46 = 22,284.19/x
  3. Step 3: Cross multiply
    35,736.29x = 49,295.46 × 22,284.19
  4. Step 4: Simplify right side
    35,736.29x = 1,098,509,340.64
  5. Step 5: Solve for x
    x = 1,098,509,340.64/35,736.29
  6. Step 6: Final answer
    x = 30,739.32

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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.