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Finding the Fourth Proportional to 50,374.86, 69,534.38 and 31,265.82

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Solution

The fourth proportional to 50,374.86, 69,534.38 and 31,265.82 is: 43,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,374.86 : 69,534.38 = 31,265.82 : x
  2. Step 2: Convert to fraction form
    50,374.86/69,534.38 = 31,265.82/x
  3. Step 3: Cross multiply
    50,374.86x = 69,534.38 × 31,265.82
  4. Step 4: Simplify right side
    50,374.86x = 2,174,049,747.81
  5. Step 5: Solve for x
    x = 2,174,049,747.81/50,374.86
  6. Step 6: Final answer
    x = 43,157.43

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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.