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Finding the Fourth Proportional to 50,942.80, 76,435.80 and 32,237.20

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Solution

The fourth proportional to 50,942.80, 76,435.80 and 32,237.20 is: 48,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.80 : 76,435.80 = 32,237.20 : x
  2. Step 2: Convert to fraction form
    50,942.80/76,435.80 = 32,237.20/x
  3. Step 3: Cross multiply
    50,942.80x = 76,435.80 × 32,237.20
  4. Step 4: Simplify right side
    50,942.80x = 2,464,076,171.76
  5. Step 5: Solve for x
    x = 2,464,076,171.76/50,942.80
  6. Step 6: Final answer
    x = 48,369.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.