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Finding the Fourth Proportional to 30,924.72, 46,393.83 and 11,201.22

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Solution

The fourth proportional to 30,924.72, 46,393.83 and 11,201.22 is: 16,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.72 : 46,393.83 = 11,201.22 : x
  2. Step 2: Convert to fraction form
    30,924.72/46,393.83 = 11,201.22/x
  3. Step 3: Cross multiply
    30,924.72x = 46,393.83 × 11,201.22
  4. Step 4: Simplify right side
    30,924.72x = 519,667,496.47
  5. Step 5: Solve for x
    x = 519,667,496.47/30,924.72
  6. Step 6: Final answer
    x = 16,804.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.