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Finding the Fourth Proportional to 50,650.14, 69,912 and 29,437.86

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Solution

The fourth proportional to 50,650.14, 69,912 and 29,437.86 is: 40,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,650.14 : 69,912 = 29,437.86 : x
  2. Step 2: Convert to fraction form
    50,650.14/69,912 = 29,437.86/x
  3. Step 3: Cross multiply
    50,650.14x = 69,912 × 29,437.86
  4. Step 4: Simplify right side
    50,650.14x = 2,058,059,668.32
  5. Step 5: Solve for x
    x = 2,058,059,668.32/50,650.14
  6. Step 6: Final answer
    x = 40,632.85

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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.