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Finding the Fourth Proportional to 50,455.38, 69,630.58 and 28,099.38

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Solution

The fourth proportional to 50,455.38, 69,630.58 and 28,099.38 is: 38,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,455.38 : 69,630.58 = 28,099.38 : x
  2. Step 2: Convert to fraction form
    50,455.38/69,630.58 = 28,099.38/x
  3. Step 3: Cross multiply
    50,455.38x = 69,630.58 × 28,099.38
  4. Step 4: Simplify right side
    50,455.38x = 1,956,575,708.64
  5. Step 5: Solve for x
    x = 1,956,575,708.64/50,455.38
  6. Step 6: Final answer
    x = 38,778.34

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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.