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Finding the Fourth Proportional to 74,424.64, 102,733 and 49,282.24

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Solution

The fourth proportional to 74,424.64, 102,733 and 49,282.24 is: 68,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,424.64 : 102,733 = 49,282.24 : x
  2. Step 2: Convert to fraction form
    74,424.64/102,733 = 49,282.24/x
  3. Step 3: Cross multiply
    74,424.64x = 102,733 × 49,282.24
  4. Step 4: Simplify right side
    74,424.64x = 5,062,912,361.92
  5. Step 5: Solve for x
    x = 5,062,912,361.92/74,424.64
  6. Step 6: Final answer
    x = 68,027.37

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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.