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Finding the Fourth Proportional to 30,889.78, 46,338.27 and 11,177.62

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Solution

The fourth proportional to 30,889.78, 46,338.27 and 11,177.62 is: 16,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.78 : 46,338.27 = 11,177.62 : x
  2. Step 2: Convert to fraction form
    30,889.78/46,338.27 = 11,177.62/x
  3. Step 3: Cross multiply
    30,889.78x = 46,338.27 × 11,177.62
  4. Step 4: Simplify right side
    30,889.78x = 517,951,573.52
  5. Step 5: Solve for x
    x = 517,951,573.52/30,889.78
  6. Step 6: Final answer
    x = 16,767.73

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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.