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Finding the Fourth Proportional to 50,339.30, 69,468.28 and 27,678.67

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Solution

The fourth proportional to 50,339.30, 69,468.28 and 27,678.67 is: 38,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,339.30 : 69,468.28 = 27,678.67 : x
  2. Step 2: Convert to fraction form
    50,339.30/69,468.28 = 27,678.67/x
  3. Step 3: Cross multiply
    50,339.30x = 69,468.28 × 27,678.67
  4. Step 4: Simplify right side
    50,339.30x = 1,922,789,354.72
  5. Step 5: Solve for x
    x = 1,922,789,354.72/50,339.30
  6. Step 6: Final answer
    x = 38,196.59

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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.