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Finding the Fourth Proportional to 49,474.40, 74,096.40 and 33,807.20

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Solution

The fourth proportional to 49,474.40, 74,096.40 and 33,807.20 is: 50,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.40 : 74,096.40 = 33,807.20 : x
  2. Step 2: Convert to fraction form
    49,474.40/74,096.40 = 33,807.20/x
  3. Step 3: Cross multiply
    49,474.40x = 74,096.40 × 33,807.20
  4. Step 4: Simplify right side
    49,474.40x = 2,504,991,814.08
  5. Step 5: Solve for x
    x = 2,504,991,814.08/49,474.40
  6. Step 6: Final answer
    x = 50,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.