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Finding the Fourth Proportional to 55,261.50, 82,926.54 and 20,204.16

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Solution

The fourth proportional to 55,261.50, 82,926.54 and 20,204.16 is: 30,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.50 : 82,926.54 = 20,204.16 : x
  2. Step 2: Convert to fraction form
    55,261.50/82,926.54 = 20,204.16/x
  3. Step 3: Cross multiply
    55,261.50x = 82,926.54 × 20,204.16
  4. Step 4: Simplify right side
    55,261.50x = 1,675,461,082.41
  5. Step 5: Solve for x
    x = 1,675,461,082.41/55,261.50
  6. Step 6: Final answer
    x = 30,318.78

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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.