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Finding the Fourth Proportional to 92,738.06, 127,978.89 and 50,297.30

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Solution

The fourth proportional to 92,738.06, 127,978.89 and 50,297.30 is: 69,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,738.06 : 127,978.89 = 50,297.30 : x
  2. Step 2: Convert to fraction form
    92,738.06/127,978.89 = 50,297.30/x
  3. Step 3: Cross multiply
    92,738.06x = 127,978.89 × 50,297.30
  4. Step 4: Simplify right side
    92,738.06x = 6,436,992,624.00
  5. Step 5: Solve for x
    x = 6,436,992,624.00/92,738.06
  6. Step 6: Final answer
    x = 69,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.