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Finding the Fourth Proportional to 31,999.90, 44,162.34 and 17,662.54

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Solution

The fourth proportional to 31,999.90, 44,162.34 and 17,662.54 is: 24,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.90 : 44,162.34 = 17,662.54 : x
  2. Step 2: Convert to fraction form
    31,999.90/44,162.34 = 17,662.54/x
  3. Step 3: Cross multiply
    31,999.90x = 44,162.34 × 17,662.54
  4. Step 4: Simplify right side
    31,999.90x = 780,019,096.74
  5. Step 5: Solve for x
    x = 780,019,096.74/31,999.90
  6. Step 6: Final answer
    x = 24,375.67

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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.