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Finding the Fourth Proportional to 38,494.26, 57,795.09 and 19,790.16

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Solution

The fourth proportional to 38,494.26, 57,795.09 and 19,790.16 is: 29,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.26 : 57,795.09 = 19,790.16 : x
  2. Step 2: Convert to fraction form
    38,494.26/57,795.09 = 19,790.16/x
  3. Step 3: Cross multiply
    38,494.26x = 57,795.09 × 19,790.16
  4. Step 4: Simplify right side
    38,494.26x = 1,143,774,078.31
  5. Step 5: Solve for x
    x = 1,143,774,078.31/38,494.26
  6. Step 6: Final answer
    x = 29,712.85

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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.