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Finding the Fourth Proportional to 50,506.56, 75,754.80 and 15,446.52

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Solution

The fourth proportional to 50,506.56, 75,754.80 and 15,446.52 is: 23,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.56 : 75,754.80 = 15,446.52 : x
  2. Step 2: Convert to fraction form
    50,506.56/75,754.80 = 15,446.52/x
  3. Step 3: Cross multiply
    50,506.56x = 75,754.80 × 15,446.52
  4. Step 4: Simplify right side
    50,506.56x = 1,170,148,033.30
  5. Step 5: Solve for x
    x = 1,170,148,033.30/50,506.56
  6. Step 6: Final answer
    x = 23,168.24

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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.