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Finding the Fourth Proportional to 54,820, 82,230.41 and 13,267

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Solution

The fourth proportional to 54,820, 82,230.41 and 13,267 is: 19,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,820 : 82,230.41 = 13,267 : x
  2. Step 2: Convert to fraction form
    54,820/82,230.41 = 13,267/x
  3. Step 3: Cross multiply
    54,820x = 82,230.41 × 13,267
  4. Step 4: Simplify right side
    54,820x = 1,090,950,849.47
  5. Step 5: Solve for x
    x = 1,090,950,849.47/54,820
  6. Step 6: Final answer
    x = 19,900.60

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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.