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Finding the Fourth Proportional to 30,997.20, 46,491.24 and 10,218

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Solution

The fourth proportional to 30,997.20, 46,491.24 and 10,218 is: 15,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.20 : 46,491.24 = 10,218 : x
  2. Step 2: Convert to fraction form
    30,997.20/46,491.24 = 10,218/x
  3. Step 3: Cross multiply
    30,997.20x = 46,491.24 × 10,218
  4. Step 4: Simplify right side
    30,997.20x = 475,047,490.32
  5. Step 5: Solve for x
    x = 475,047,490.32/30,997.20
  6. Step 6: Final answer
    x = 15,325.50

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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.