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Finding the Fourth Proportional to 38,208, 57,277.44 and 19,477.56

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Solution

The fourth proportional to 38,208, 57,277.44 and 19,477.56 is: 29,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208 : 57,277.44 = 19,477.56 : x
  2. Step 2: Convert to fraction form
    38,208/57,277.44 = 19,477.56/x
  3. Step 3: Cross multiply
    38,208x = 57,277.44 × 19,477.56
  4. Step 4: Simplify right side
    38,208x = 1,115,624,774.25
  5. Step 5: Solve for x
    x = 1,115,624,774.25/38,208
  6. Step 6: Final answer
    x = 29,198.72

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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.