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Finding the Fourth Proportional to 50,553.36, 69,768.36 and 29,046

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Solution

The fourth proportional to 50,553.36, 69,768.36 and 29,046 is: 40,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,553.36 : 69,768.36 = 29,046 : x
  2. Step 2: Convert to fraction form
    50,553.36/69,768.36 = 29,046/x
  3. Step 3: Cross multiply
    50,553.36x = 69,768.36 × 29,046
  4. Step 4: Simplify right side
    50,553.36x = 2,026,491,784.56
  5. Step 5: Solve for x
    x = 2,026,491,784.56/50,553.36
  6. Step 6: Final answer
    x = 40,086.19

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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.