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Finding the Fourth Proportional to 32,097.14, 44,294.13 and 17,949.98

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Solution

The fourth proportional to 32,097.14, 44,294.13 and 17,949.98 is: 24,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.14 : 44,294.13 = 17,949.98 : x
  2. Step 2: Convert to fraction form
    32,097.14/44,294.13 = 17,949.98/x
  3. Step 3: Cross multiply
    32,097.14x = 44,294.13 × 17,949.98
  4. Step 4: Simplify right side
    32,097.14x = 795,078,747.62
  5. Step 5: Solve for x
    x = 795,078,747.62/32,097.14
  6. Step 6: Final answer
    x = 24,771.02

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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.