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Finding the Fourth Proportional to 73,148.48, 109,722.72 and 17,744

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Solution

The fourth proportional to 73,148.48, 109,722.72 and 17,744 is: 26,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,148.48 : 109,722.72 = 17,744 : x
  2. Step 2: Convert to fraction form
    73,148.48/109,722.72 = 17,744/x
  3. Step 3: Cross multiply
    73,148.48x = 109,722.72 × 17,744
  4. Step 4: Simplify right side
    73,148.48x = 1,946,919,943.68
  5. Step 5: Solve for x
    x = 1,946,919,943.68/73,148.48
  6. Step 6: Final answer
    x = 26,616.00

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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.