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Finding the Fourth Proportional to 32,006.23, 44,168.28 and 17,666.17

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Solution

The fourth proportional to 32,006.23, 44,168.28 and 17,666.17 is: 24,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.23 : 44,168.28 = 17,666.17 : x
  2. Step 2: Convert to fraction form
    32,006.23/44,168.28 = 17,666.17/x
  3. Step 3: Cross multiply
    32,006.23x = 44,168.28 × 17,666.17
  4. Step 4: Simplify right side
    32,006.23x = 780,284,343.09
  5. Step 5: Solve for x
    x = 780,284,343.09/32,006.23
  6. Step 6: Final answer
    x = 24,379.14

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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.