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Finding the Fourth Proportional to 32,097.48, 44,294.27 and 17,950.33

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Solution

The fourth proportional to 32,097.48, 44,294.27 and 17,950.33 is: 24,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.48 : 44,294.27 = 17,950.33 : x
  2. Step 2: Convert to fraction form
    32,097.48/44,294.27 = 17,950.33/x
  3. Step 3: Cross multiply
    32,097.48x = 44,294.27 × 17,950.33
  4. Step 4: Simplify right side
    32,097.48x = 795,096,530.56
  5. Step 5: Solve for x
    x = 795,096,530.56/32,097.48
  6. Step 6: Final answer
    x = 24,771.31

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