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Finding the Fourth Proportional to 53,811.20, 80,745.60 and 24,233.60

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Solution

The fourth proportional to 53,811.20, 80,745.60 and 24,233.60 is: 36,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,811.20 : 80,745.60 = 24,233.60 : x
  2. Step 2: Convert to fraction form
    53,811.20/80,745.60 = 24,233.60/x
  3. Step 3: Cross multiply
    53,811.20x = 80,745.60 × 24,233.60
  4. Step 4: Simplify right side
    53,811.20x = 1,956,756,572.16
  5. Step 5: Solve for x
    x = 1,956,756,572.16/53,811.20
  6. Step 6: Final answer
    x = 36,363.37

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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.