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Finding the Fourth Proportional to 51,104.92, 76,651.35 and 13,667.90

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Solution

The fourth proportional to 51,104.92, 76,651.35 and 13,667.90 is: 20,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104.92 : 76,651.35 = 13,667.90 : x
  2. Step 2: Convert to fraction form
    51,104.92/76,651.35 = 13,667.90/x
  3. Step 3: Cross multiply
    51,104.92x = 76,651.35 × 13,667.90
  4. Step 4: Simplify right side
    51,104.92x = 1,047,662,535.07
  5. Step 5: Solve for x
    x = 1,047,662,535.07/51,104.92
  6. Step 6: Final answer
    x = 20,500.23

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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.