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Finding the Fourth Proportional to 54,933.36, 75,807.72 and 29,782.32

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Solution

The fourth proportional to 54,933.36, 75,807.72 and 29,782.32 is: 41,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,933.36 : 75,807.72 = 29,782.32 : x
  2. Step 2: Convert to fraction form
    54,933.36/75,807.72 = 29,782.32/x
  3. Step 3: Cross multiply
    54,933.36x = 75,807.72 × 29,782.32
  4. Step 4: Simplify right side
    54,933.36x = 2,257,729,775.51
  5. Step 5: Solve for x
    x = 2,257,729,775.51/54,933.36
  6. Step 6: Final answer
    x = 41,099.43

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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.