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Finding the Fourth Proportional to 40,932.50, 61,408.83 and 13,230.50

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Solution

The fourth proportional to 40,932.50, 61,408.83 and 13,230.50 is: 19,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,932.50 : 61,408.83 = 13,230.50 : x
  2. Step 2: Convert to fraction form
    40,932.50/61,408.83 = 13,230.50/x
  3. Step 3: Cross multiply
    40,932.50x = 61,408.83 × 13,230.50
  4. Step 4: Simplify right side
    40,932.50x = 812,469,525.32
  5. Step 5: Solve for x
    x = 812,469,525.32/40,932.50
  6. Step 6: Final answer
    x = 19,849.01

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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.