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Finding the Fourth Proportional to 48,494.73, 72,739.08 and 23,212.20

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Solution

The fourth proportional to 48,494.73, 72,739.08 and 23,212.20 is: 34,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494.73 : 72,739.08 = 23,212.20 : x
  2. Step 2: Convert to fraction form
    48,494.73/72,739.08 = 23,212.20/x
  3. Step 3: Cross multiply
    48,494.73x = 72,739.08 × 23,212.20
  4. Step 4: Simplify right side
    48,494.73x = 1,688,434,072.78
  5. Step 5: Solve for x
    x = 1,688,434,072.78/48,494.73
  6. Step 6: Final answer
    x = 34,816.86

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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.