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Finding the Fourth Proportional to 73,148.80, 109,723.20 and 17,744.80

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Solution

The fourth proportional to 73,148.80, 109,723.20 and 17,744.80 is: 26,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,148.80 : 109,723.20 = 17,744.80 : x
  2. Step 2: Convert to fraction form
    73,148.80/109,723.20 = 17,744.80/x
  3. Step 3: Cross multiply
    73,148.80x = 109,723.20 × 17,744.80
  4. Step 4: Simplify right side
    73,148.80x = 1,947,016,239.36
  5. Step 5: Solve for x
    x = 1,947,016,239.36/73,148.80
  6. Step 6: Final answer
    x = 26,617.20

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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.