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Finding the Fourth Proportional to 55,246.40, 82,881.60 and 20,186

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Solution

The fourth proportional to 55,246.40, 82,881.60 and 20,186 is: 30,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246.40 : 82,881.60 = 20,186 : x
  2. Step 2: Convert to fraction form
    55,246.40/82,881.60 = 20,186/x
  3. Step 3: Cross multiply
    55,246.40x = 82,881.60 × 20,186
  4. Step 4: Simplify right side
    55,246.40x = 1,673,047,977.60
  5. Step 5: Solve for x
    x = 1,673,047,977.60/55,246.40
  6. Step 6: Final answer
    x = 30,283.38

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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.