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Finding the Fourth Proportional to 55,204.64, 82,816.72 and 20,167.28

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Solution

The fourth proportional to 55,204.64, 82,816.72 and 20,167.28 is: 30,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204.64 : 82,816.72 = 20,167.28 : x
  2. Step 2: Convert to fraction form
    55,204.64/82,816.72 = 20,167.28/x
  3. Step 3: Cross multiply
    55,204.64x = 82,816.72 × 20,167.28
  4. Step 4: Simplify right side
    55,204.64x = 1,670,187,980.92
  5. Step 5: Solve for x
    x = 1,670,187,980.92/55,204.64
  6. Step 6: Final answer
    x = 30,254.49

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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.