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Finding the Fourth Proportional to 34,667.87, 51,978.31 and 13,594.70

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Solution

The fourth proportional to 34,667.87, 51,978.31 and 13,594.70 is: 20,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,667.87 : 51,978.31 = 13,594.70 : x
  2. Step 2: Convert to fraction form
    34,667.87/51,978.31 = 13,594.70/x
  3. Step 3: Cross multiply
    34,667.87x = 51,978.31 × 13,594.70
  4. Step 4: Simplify right side
    34,667.87x = 706,629,626.92
  5. Step 5: Solve for x
    x = 706,629,626.92/34,667.87
  6. Step 6: Final answer
    x = 20,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.