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Finding the Fourth Proportional to 50,074.80, 69,128.28 and 31,222.32

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Solution

The fourth proportional to 50,074.80, 69,128.28 and 31,222.32 is: 43,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074.80 : 69,128.28 = 31,222.32 : x
  2. Step 2: Convert to fraction form
    50,074.80/69,128.28 = 31,222.32/x
  3. Step 3: Cross multiply
    50,074.80x = 69,128.28 × 31,222.32
  4. Step 4: Simplify right side
    50,074.80x = 2,158,345,279.21
  5. Step 5: Solve for x
    x = 2,158,345,279.21/50,074.80
  6. Step 6: Final answer
    x = 43,102.42

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