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Finding the Fourth Proportional to 35,536.95, 49,039.02 and 22,107.78

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Solution

The fourth proportional to 35,536.95, 49,039.02 and 22,107.78 is: 30,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536.95 : 49,039.02 = 22,107.78 : x
  2. Step 2: Convert to fraction form
    35,536.95/49,039.02 = 22,107.78/x
  3. Step 3: Cross multiply
    35,536.95x = 49,039.02 × 22,107.78
  4. Step 4: Simplify right side
    35,536.95x = 1,084,143,865.58
  5. Step 5: Solve for x
    x = 1,084,143,865.58/35,536.95
  6. Step 6: Final answer
    x = 30,507.51

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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.