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Finding the Fourth Proportional to 48,903.78, 73,343.87 and 22,583.22

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Solution

The fourth proportional to 48,903.78, 73,343.87 and 22,583.22 is: 33,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,903.78 : 73,343.87 = 22,583.22 : x
  2. Step 2: Convert to fraction form
    48,903.78/73,343.87 = 22,583.22/x
  3. Step 3: Cross multiply
    48,903.78x = 73,343.87 × 22,583.22
  4. Step 4: Simplify right side
    48,903.78x = 1,656,340,751.86
  5. Step 5: Solve for x
    x = 1,656,340,751.86/48,903.78
  6. Step 6: Final answer
    x = 33,869.38

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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.