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Finding the Fourth Proportional to 31,989.52, 44,083.20 and 23,021.20

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Solution

The fourth proportional to 31,989.52, 44,083.20 and 23,021.20 is: 31,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.52 : 44,083.20 = 23,021.20 : x
  2. Step 2: Convert to fraction form
    31,989.52/44,083.20 = 23,021.20/x
  3. Step 3: Cross multiply
    31,989.52x = 44,083.20 × 23,021.20
  4. Step 4: Simplify right side
    31,989.52x = 1,014,848,163.84
  5. Step 5: Solve for x
    x = 1,014,848,163.84/31,989.52
  6. Step 6: Final answer
    x = 31,724.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.