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Finding the Fourth Proportional to 30,983.60, 46,449.36 and 21,596

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Solution

The fourth proportional to 30,983.60, 46,449.36 and 21,596 is: 32,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.60 : 46,449.36 = 21,596 : x
  2. Step 2: Convert to fraction form
    30,983.60/46,449.36 = 21,596/x
  3. Step 3: Cross multiply
    30,983.60x = 46,449.36 × 21,596
  4. Step 4: Simplify right side
    30,983.60x = 1,003,120,378.56
  5. Step 5: Solve for x
    x = 1,003,120,378.56/30,983.60
  6. Step 6: Final answer
    x = 32,375.85

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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.