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Finding the Fourth Proportional to 31,958.70, 44,074.34 and 20,023.34

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Solution

The fourth proportional to 31,958.70, 44,074.34 and 20,023.34 is: 27,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.70 : 44,074.34 = 20,023.34 : x
  2. Step 2: Convert to fraction form
    31,958.70/44,074.34 = 20,023.34/x
  3. Step 3: Cross multiply
    31,958.70x = 44,074.34 × 20,023.34
  4. Step 4: Simplify right side
    31,958.70x = 882,515,495.10
  5. Step 5: Solve for x
    x = 882,515,495.10/31,958.70
  6. Step 6: Final answer
    x = 27,614.25

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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.