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Finding the Fourth Proportional to 32,667, 49,002.76 and 12,945.56

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Solution

The fourth proportional to 32,667, 49,002.76 and 12,945.56 is: 19,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 49,002.76 = 12,945.56 : x
  2. Step 2: Convert to fraction form
    32,667/49,002.76 = 12,945.56/x
  3. Step 3: Cross multiply
    32,667x = 49,002.76 × 12,945.56
  4. Step 4: Simplify right side
    32,667x = 634,368,169.75
  5. Step 5: Solve for x
    x = 634,368,169.75/32,667
  6. Step 6: Final answer
    x = 19,419.24

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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.