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Finding the Fourth Proportional to 32,097.84, 44,294.68 and 17,950.76

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Solution

The fourth proportional to 32,097.84, 44,294.68 and 17,950.76 is: 24,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.84 : 44,294.68 = 17,950.76 : x
  2. Step 2: Convert to fraction form
    32,097.84/44,294.68 = 17,950.76/x
  3. Step 3: Cross multiply
    32,097.84x = 44,294.68 × 17,950.76
  4. Step 4: Simplify right side
    32,097.84x = 795,123,169.96
  5. Step 5: Solve for x
    x = 795,123,169.96/32,097.84
  6. Step 6: Final answer
    x = 24,771.86

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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.