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Finding the Fourth Proportional to 73,223.19, 109,843.44 and 25,828.40

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Solution

The fourth proportional to 73,223.19, 109,843.44 and 25,828.40 is: 38,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,223.19 : 109,843.44 = 25,828.40 : x
  2. Step 2: Convert to fraction form
    73,223.19/109,843.44 = 25,828.40/x
  3. Step 3: Cross multiply
    73,223.19x = 109,843.44 × 25,828.40
  4. Step 4: Simplify right side
    73,223.19x = 2,837,080,305.70
  5. Step 5: Solve for x
    x = 2,837,080,305.70/73,223.19
  6. Step 6: Final answer
    x = 38,745.65

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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.