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Finding the Fourth Proportional to 38,438.50, 57,667.47 and 10,736.50

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Solution

The fourth proportional to 38,438.50, 57,667.47 and 10,736.50 is: 16,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.50 : 57,667.47 = 10,736.50 : x
  2. Step 2: Convert to fraction form
    38,438.50/57,667.47 = 10,736.50/x
  3. Step 3: Cross multiply
    38,438.50x = 57,667.47 × 10,736.50
  4. Step 4: Simplify right side
    38,438.50x = 619,146,791.66
  5. Step 5: Solve for x
    x = 619,146,791.66/38,438.50
  6. Step 6: Final answer
    x = 16,107.46

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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.