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Finding the Fourth Proportional to 48,803, 73,144.50 and 27,760.54

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Solution

The fourth proportional to 48,803, 73,144.50 and 27,760.54 is: 41,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803 : 73,144.50 = 27,760.54 : x
  2. Step 2: Convert to fraction form
    48,803/73,144.50 = 27,760.54/x
  3. Step 3: Cross multiply
    48,803x = 73,144.50 × 27,760.54
  4. Step 4: Simplify right side
    48,803x = 2,030,530,818.03
  5. Step 5: Solve for x
    x = 2,030,530,818.03/48,803
  6. Step 6: Final answer
    x = 41,606.68

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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.