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Finding the Fourth Proportional to 38,097.96, 57,149.67 and 13,137.64

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Solution

The fourth proportional to 38,097.96, 57,149.67 and 13,137.64 is: 19,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.96 : 57,149.67 = 13,137.64 : x
  2. Step 2: Convert to fraction form
    38,097.96/57,149.67 = 13,137.64/x
  3. Step 3: Cross multiply
    38,097.96x = 57,149.67 × 13,137.64
  4. Step 4: Simplify right side
    38,097.96x = 750,812,021.31
  5. Step 5: Solve for x
    x = 750,812,021.31/38,097.96
  6. Step 6: Final answer
    x = 19,707.41

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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.