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Finding the Fourth Proportional to 37,195, 55,795.74 and 9,493

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Solution

The fourth proportional to 37,195, 55,795.74 and 9,493 is: 14,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,195 : 55,795.74 = 9,493 : x
  2. Step 2: Convert to fraction form
    37,195/55,795.74 = 9,493/x
  3. Step 3: Cross multiply
    37,195x = 55,795.74 × 9,493
  4. Step 4: Simplify right side
    37,195x = 529,668,959.82
  5. Step 5: Solve for x
    x = 529,668,959.82/37,195
  6. Step 6: Final answer
    x = 14,240.33

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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.