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Finding the Fourth Proportional to 50,965.80, 76,408.44 and 32,206.24

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Solution

The fourth proportional to 50,965.80, 76,408.44 and 32,206.24 is: 48,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.80 : 76,408.44 = 32,206.24 : x
  2. Step 2: Convert to fraction form
    50,965.80/76,408.44 = 32,206.24/x
  3. Step 3: Cross multiply
    50,965.80x = 76,408.44 × 32,206.24
  4. Step 4: Simplify right side
    50,965.80x = 2,460,828,556.67
  5. Step 5: Solve for x
    x = 2,460,828,556.67/50,965.80
  6. Step 6: Final answer
    x = 48,283.92

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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.