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Finding the Fourth Proportional to 43,822.92, 65,745.42 and 12,232.94

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Solution

The fourth proportional to 43,822.92, 65,745.42 and 12,232.94 is: 18,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822.92 : 65,745.42 = 12,232.94 : x
  2. Step 2: Convert to fraction form
    43,822.92/65,745.42 = 12,232.94/x
  3. Step 3: Cross multiply
    43,822.92x = 65,745.42 × 12,232.94
  4. Step 4: Simplify right side
    43,822.92x = 804,259,842.16
  5. Step 5: Solve for x
    x = 804,259,842.16/43,822.92
  6. Step 6: Final answer
    x = 18,352.49

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1.5x scale

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.