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Finding the Fourth Proportional to 54,403.80, 81,605.70 and 50,467.20

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Solution

The fourth proportional to 54,403.80, 81,605.70 and 50,467.20 is: 75,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,403.80 : 81,605.70 = 50,467.20 : x
  2. Step 2: Convert to fraction form
    54,403.80/81,605.70 = 50,467.20/x
  3. Step 3: Cross multiply
    54,403.80x = 81,605.70 × 50,467.20
  4. Step 4: Simplify right side
    54,403.80x = 4,118,411,183.04
  5. Step 5: Solve for x
    x = 4,118,411,183.04/54,403.80
  6. Step 6: Final answer
    x = 75,700.80

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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.