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Finding the Fourth Proportional to 32,804.26, 49,209.32 and 14,080.09

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Solution

The fourth proportional to 32,804.26, 49,209.32 and 14,080.09 is: 21,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.26 : 49,209.32 = 14,080.09 : x
  2. Step 2: Convert to fraction form
    32,804.26/49,209.32 = 14,080.09/x
  3. Step 3: Cross multiply
    32,804.26x = 49,209.32 × 14,080.09
  4. Step 4: Simplify right side
    32,804.26x = 692,871,654.44
  5. Step 5: Solve for x
    x = 692,871,654.44/32,804.26
  6. Step 6: Final answer
    x = 21,121.39

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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.