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Finding the Fourth Proportional to 30,366, 45,549.72 and 11,898

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Solution

The fourth proportional to 30,366, 45,549.72 and 11,898 is: 17,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366 : 45,549.72 = 11,898 : x
  2. Step 2: Convert to fraction form
    30,366/45,549.72 = 11,898/x
  3. Step 3: Cross multiply
    30,366x = 45,549.72 × 11,898
  4. Step 4: Simplify right side
    30,366x = 541,950,568.56
  5. Step 5: Solve for x
    x = 541,950,568.56/30,366
  6. Step 6: Final answer
    x = 17,847.28

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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.