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Finding the Fourth Proportional to 73,213.98, 109,837.86 and 31,095.42

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Solution

The fourth proportional to 73,213.98, 109,837.86 and 31,095.42 is: 46,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,213.98 : 109,837.86 = 31,095.42 : x
  2. Step 2: Convert to fraction form
    73,213.98/109,837.86 = 31,095.42/x
  3. Step 3: Cross multiply
    73,213.98x = 109,837.86 × 31,095.42
  4. Step 4: Simplify right side
    73,213.98x = 3,415,453,860.10
  5. Step 5: Solve for x
    x = 3,415,453,860.10/73,213.98
  6. Step 6: Final answer
    x = 46,650.30

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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.