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Finding the Fourth Proportional to 50,912.88, 76,338.51 and 22,827.72

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Solution

The fourth proportional to 50,912.88, 76,338.51 and 22,827.72 is: 34,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,912.88 : 76,338.51 = 22,827.72 : x
  2. Step 2: Convert to fraction form
    50,912.88/76,338.51 = 22,827.72/x
  3. Step 3: Cross multiply
    50,912.88x = 76,338.51 × 22,827.72
  4. Step 4: Simplify right side
    50,912.88x = 1,742,634,131.50
  5. Step 5: Solve for x
    x = 1,742,634,131.50/50,912.88
  6. Step 6: Final answer
    x = 34,227.77

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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.