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Finding the Fourth Proportional to 35,577, 49,097.24 and 19,662.48

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Solution

The fourth proportional to 35,577, 49,097.24 and 19,662.48 is: 27,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577 : 49,097.24 = 19,662.48 : x
  2. Step 2: Convert to fraction form
    35,577/49,097.24 = 19,662.48/x
  3. Step 3: Cross multiply
    35,577x = 49,097.24 × 19,662.48
  4. Step 4: Simplify right side
    35,577x = 965,373,499.56
  5. Step 5: Solve for x
    x = 965,373,499.56/35,577
  6. Step 6: Final answer
    x = 27,134.76

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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.