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Finding the Fourth Proportional to 32,097.36, 44,294.94 and 17,949.90

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Solution

The fourth proportional to 32,097.36, 44,294.94 and 17,949.90 is: 24,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.36 : 44,294.94 = 17,949.90 : x
  2. Step 2: Convert to fraction form
    32,097.36/44,294.94 = 17,949.90/x
  3. Step 3: Cross multiply
    32,097.36x = 44,294.94 × 17,949.90
  4. Step 4: Simplify right side
    32,097.36x = 795,089,743.51
  5. Step 5: Solve for x
    x = 795,089,743.51/32,097.36
  6. Step 6: Final answer
    x = 24,771.19

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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.