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Finding the Fourth Proportional to 50,531.06, 75,764.19 and 20,969.30

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Solution

The fourth proportional to 50,531.06, 75,764.19 and 20,969.30 is: 31,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.06 : 75,764.19 = 20,969.30 : x
  2. Step 2: Convert to fraction form
    50,531.06/75,764.19 = 20,969.30/x
  3. Step 3: Cross multiply
    50,531.06x = 75,764.19 × 20,969.30
  4. Step 4: Simplify right side
    50,531.06x = 1,588,722,029.37
  5. Step 5: Solve for x
    x = 1,588,722,029.37/50,531.06
  6. Step 6: Final answer
    x = 31,440.50

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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.