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Finding the Fourth Proportional to 32,004.36, 44,165.70 and 17,664.96

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Solution

The fourth proportional to 32,004.36, 44,165.70 and 17,664.96 is: 24,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.36 : 44,165.70 = 17,664.96 : x
  2. Step 2: Convert to fraction form
    32,004.36/44,165.70 = 17,664.96/x
  3. Step 3: Cross multiply
    32,004.36x = 44,165.70 × 17,664.96
  4. Step 4: Simplify right side
    32,004.36x = 780,185,323.87
  5. Step 5: Solve for x
    x = 780,185,323.87/32,004.36
  6. Step 6: Final answer
    x = 24,377.47

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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.