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Finding the Fourth Proportional to 32,097.58, 48,133.93 and 11,033.66

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Solution

The fourth proportional to 32,097.58, 48,133.93 and 11,033.66 is: 16,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.58 : 48,133.93 = 11,033.66 : x
  2. Step 2: Convert to fraction form
    32,097.58/48,133.93 = 11,033.66/x
  3. Step 3: Cross multiply
    32,097.58x = 48,133.93 × 11,033.66
  4. Step 4: Simplify right side
    32,097.58x = 531,093,418.08
  5. Step 5: Solve for x
    x = 531,093,418.08/32,097.58
  6. Step 6: Final answer
    x = 16,546.21

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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.