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Finding the Fourth Proportional to 92,647.68, 127,855.44 and 50,208

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Solution

The fourth proportional to 92,647.68, 127,855.44 and 50,208 is: 69,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,647.68 : 127,855.44 = 50,208 : x
  2. Step 2: Convert to fraction form
    92,647.68/127,855.44 = 50,208/x
  3. Step 3: Cross multiply
    92,647.68x = 127,855.44 × 50,208
  4. Step 4: Simplify right side
    92,647.68x = 6,419,365,931.52
  5. Step 5: Solve for x
    x = 6,419,365,931.52/92,647.68
  6. Step 6: Final answer
    x = 69,287.93

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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.