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Finding the Fourth Proportional to 55,451.66, 83,165.27 and 16,000.20

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Solution

The fourth proportional to 55,451.66, 83,165.27 and 16,000.20 is: 23,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,451.66 : 83,165.27 = 16,000.20 : x
  2. Step 2: Convert to fraction form
    55,451.66/83,165.27 = 16,000.20/x
  3. Step 3: Cross multiply
    55,451.66x = 83,165.27 × 16,000.20
  4. Step 4: Simplify right side
    55,451.66x = 1,330,660,873.05
  5. Step 5: Solve for x
    x = 1,330,660,873.05/55,451.66
  6. Step 6: Final answer
    x = 23,996.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.