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Finding the Fourth Proportional to 48,198.48, 72,301.09 and 14,914.16

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Solution

The fourth proportional to 48,198.48, 72,301.09 and 14,914.16 is: 22,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198.48 : 72,301.09 = 14,914.16 : x
  2. Step 2: Convert to fraction form
    48,198.48/72,301.09 = 14,914.16/x
  3. Step 3: Cross multiply
    48,198.48x = 72,301.09 × 14,914.16
  4. Step 4: Simplify right side
    48,198.48x = 1,078,309,662.93
  5. Step 5: Solve for x
    x = 1,078,309,662.93/48,198.48
  6. Step 6: Final answer
    x = 22,372.28

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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.