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Finding the Fourth Proportional to 31,998.32, 48,014.32 and 22,698.32

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Solution

The fourth proportional to 31,998.32, 48,014.32 and 22,698.32 is: 34,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.32 : 48,014.32 = 22,698.32 : x
  2. Step 2: Convert to fraction form
    31,998.32/48,014.32 = 22,698.32/x
  3. Step 3: Cross multiply
    31,998.32x = 48,014.32 × 22,698.32
  4. Step 4: Simplify right side
    31,998.32x = 1,089,844,399.94
  5. Step 5: Solve for x
    x = 1,089,844,399.94/31,998.32
  6. Step 6: Final answer
    x = 34,059.43

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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.