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Finding the Fourth Proportional to 32,097.39, 44,296.46 and 17,950.34

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Solution

The fourth proportional to 32,097.39, 44,296.46 and 17,950.34 is: 24,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.39 : 44,296.46 = 17,950.34 : x
  2. Step 2: Convert to fraction form
    32,097.39/44,296.46 = 17,950.34/x
  3. Step 3: Cross multiply
    32,097.39x = 44,296.46 × 17,950.34
  4. Step 4: Simplify right side
    32,097.39x = 795,136,206.56
  5. Step 5: Solve for x
    x = 795,136,206.56/32,097.39
  6. Step 6: Final answer
    x = 24,772.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.