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Finding the Fourth Proportional to 35,682.36, 49,242 and 19,767.14

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Solution

The fourth proportional to 35,682.36, 49,242 and 19,767.14 is: 27,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.36 : 49,242 = 19,767.14 : x
  2. Step 2: Convert to fraction form
    35,682.36/49,242 = 19,767.14/x
  3. Step 3: Cross multiply
    35,682.36x = 49,242 × 19,767.14
  4. Step 4: Simplify right side
    35,682.36x = 973,373,507.88
  5. Step 5: Solve for x
    x = 973,373,507.88/35,682.36
  6. Step 6: Final answer
    x = 27,278.84

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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.