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Finding the Fourth Proportional to 55,431.98, 83,096.13 and 20,362.22

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Solution

The fourth proportional to 55,431.98, 83,096.13 and 20,362.22 is: 30,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431.98 : 83,096.13 = 20,362.22 : x
  2. Step 2: Convert to fraction form
    55,431.98/83,096.13 = 20,362.22/x
  3. Step 3: Cross multiply
    55,431.98x = 83,096.13 × 20,362.22
  4. Step 4: Simplify right side
    55,431.98x = 1,692,021,680.21
  5. Step 5: Solve for x
    x = 1,692,021,680.21/55,431.98
  6. Step 6: Final answer
    x = 30,524.29

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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.