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Finding the Fourth Proportional to 92,738.16, 127,978.68 and 50,296.84

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Solution

The fourth proportional to 92,738.16, 127,978.68 and 50,296.84 is: 69,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,738.16 : 127,978.68 = 50,296.84 : x
  2. Step 2: Convert to fraction form
    92,738.16/127,978.68 = 50,296.84/x
  3. Step 3: Cross multiply
    92,738.16x = 127,978.68 × 50,296.84
  4. Step 4: Simplify right side
    92,738.16x = 6,436,923,191.37
  5. Step 5: Solve for x
    x = 6,436,923,191.37/92,738.16
  6. Step 6: Final answer
    x = 69,409.65

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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.