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Finding the Fourth Proportional to 50,678.56, 69,930.24 and 28,014.43

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Solution

The fourth proportional to 50,678.56, 69,930.24 and 28,014.43 is: 38,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.56 : 69,930.24 = 28,014.43 : x
  2. Step 2: Convert to fraction form
    50,678.56/69,930.24 = 28,014.43/x
  3. Step 3: Cross multiply
    50,678.56x = 69,930.24 × 28,014.43
  4. Step 4: Simplify right side
    50,678.56x = 1,959,055,813.36
  5. Step 5: Solve for x
    x = 1,959,055,813.36/50,678.56
  6. Step 6: Final answer
    x = 38,656.50

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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.