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Finding the Fourth Proportional to 48,817.80, 73,226.70 and 31,321.80

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Solution

The fourth proportional to 48,817.80, 73,226.70 and 31,321.80 is: 46,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,817.80 : 73,226.70 = 31,321.80 : x
  2. Step 2: Convert to fraction form
    48,817.80/73,226.70 = 31,321.80/x
  3. Step 3: Cross multiply
    48,817.80x = 73,226.70 × 31,321.80
  4. Step 4: Simplify right side
    48,817.80x = 2,293,592,052.06
  5. Step 5: Solve for x
    x = 2,293,592,052.06/48,817.80
  6. Step 6: Final answer
    x = 46,982.70

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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.