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Finding the Fourth Proportional to 32,089.96, 44,284.15 and 17,942.84

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Solution

The fourth proportional to 32,089.96, 44,284.15 and 17,942.84 is: 24,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.96 : 44,284.15 = 17,942.84 : x
  2. Step 2: Convert to fraction form
    32,089.96/44,284.15 = 17,942.84/x
  3. Step 3: Cross multiply
    32,089.96x = 44,284.15 × 17,942.84
  4. Step 4: Simplify right side
    32,089.96x = 794,583,417.99
  5. Step 5: Solve for x
    x = 794,583,417.99/32,089.96
  6. Step 6: Final answer
    x = 24,761.12

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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.