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Finding the Fourth Proportional to 73,746.82, 110,620.02 and 18,342.82

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Solution

The fourth proportional to 73,746.82, 110,620.02 and 18,342.82 is: 27,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746.82 : 110,620.02 = 18,342.82 : x
  2. Step 2: Convert to fraction form
    73,746.82/110,620.02 = 18,342.82/x
  3. Step 3: Cross multiply
    73,746.82x = 110,620.02 × 18,342.82
  4. Step 4: Simplify right side
    73,746.82x = 2,029,083,115.26
  5. Step 5: Solve for x
    x = 2,029,083,115.26/73,746.82
  6. Step 6: Final answer
    x = 27,514.18

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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.