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Finding the Fourth Proportional to 31,525.44, 43,522.52 and 23,019

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Solution

The fourth proportional to 31,525.44, 43,522.52 and 23,019 is: 31,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.44 : 43,522.52 = 23,019 : x
  2. Step 2: Convert to fraction form
    31,525.44/43,522.52 = 23,019/x
  3. Step 3: Cross multiply
    31,525.44x = 43,522.52 × 23,019
  4. Step 4: Simplify right side
    31,525.44x = 1,001,844,887.88
  5. Step 5: Solve for x
    x = 1,001,844,887.88/31,525.44
  6. Step 6: Final answer
    x = 31,778.93

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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.