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Finding the Fourth Proportional to 32,794.75, 49,208.18 and 14,069.24

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Solution

The fourth proportional to 32,794.75, 49,208.18 and 14,069.24 is: 21,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.75 : 49,208.18 = 14,069.24 : x
  2. Step 2: Convert to fraction form
    32,794.75/49,208.18 = 14,069.24/x
  3. Step 3: Cross multiply
    32,794.75x = 49,208.18 × 14,069.24
  4. Step 4: Simplify right side
    32,794.75x = 692,321,958.03
  5. Step 5: Solve for x
    x = 692,321,958.03/32,794.75
  6. Step 6: Final answer
    x = 21,110.76

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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.