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Finding the Fourth Proportional to 32,005.23, 44,166.90 and 17,665.17

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Solution

The fourth proportional to 32,005.23, 44,166.90 and 17,665.17 is: 24,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.23 : 44,166.90 = 17,665.17 : x
  2. Step 2: Convert to fraction form
    32,005.23/44,166.90 = 17,665.17/x
  3. Step 3: Cross multiply
    32,005.23x = 44,166.90 × 17,665.17
  4. Step 4: Simplify right side
    32,005.23x = 780,215,796.87
  5. Step 5: Solve for x
    x = 780,215,796.87/32,005.23
  6. Step 6: Final answer
    x = 24,377.76

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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.