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Finding the Fourth Proportional to 32,184.36, 44,415.94 and 20,092

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Solution

The fourth proportional to 32,184.36, 44,415.94 and 20,092 is: 27,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.36 : 44,415.94 = 20,092 : x
  2. Step 2: Convert to fraction form
    32,184.36/44,415.94 = 20,092/x
  3. Step 3: Cross multiply
    32,184.36x = 44,415.94 × 20,092
  4. Step 4: Simplify right side
    32,184.36x = 892,405,066.48
  5. Step 5: Solve for x
    x = 892,405,066.48/32,184.36
  6. Step 6: Final answer
    x = 27,727.91

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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.