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Finding the Fourth Proportional to 37,949, 56,923.50 and 10,247

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Solution

The fourth proportional to 37,949, 56,923.50 and 10,247 is: 15,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,949 : 56,923.50 = 10,247 : x
  2. Step 2: Convert to fraction form
    37,949/56,923.50 = 10,247/x
  3. Step 3: Cross multiply
    37,949x = 56,923.50 × 10,247
  4. Step 4: Simplify right side
    37,949x = 583,295,104.50
  5. Step 5: Solve for x
    x = 583,295,104.50/37,949
  6. Step 6: Final answer
    x = 15,370.50

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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.