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Finding the Fourth Proportional to 49,783.34, 74,617.23 and 20,164.34

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Solution

The fourth proportional to 49,783.34, 74,617.23 and 20,164.34 is: 30,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.34 : 74,617.23 = 20,164.34 : x
  2. Step 2: Convert to fraction form
    49,783.34/74,617.23 = 20,164.34/x
  3. Step 3: Cross multiply
    49,783.34x = 74,617.23 × 20,164.34
  4. Step 4: Simplify right side
    49,783.34x = 1,504,607,195.58
  5. Step 5: Solve for x
    x = 1,504,607,195.58/49,783.34
  6. Step 6: Final answer
    x = 30,223.11

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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.