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Finding the Fourth Proportional to 51,243.69, 70,722.27 and 30,022.50

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Solution

The fourth proportional to 51,243.69, 70,722.27 and 30,022.50 is: 41,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,243.69 : 70,722.27 = 30,022.50 : x
  2. Step 2: Convert to fraction form
    51,243.69/70,722.27 = 30,022.50/x
  3. Step 3: Cross multiply
    51,243.69x = 70,722.27 × 30,022.50
  4. Step 4: Simplify right side
    51,243.69x = 2,123,259,351.08
  5. Step 5: Solve for x
    x = 2,123,259,351.08/51,243.69
  6. Step 6: Final answer
    x = 41,434.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.