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Finding the Fourth Proportional to 50,474.88, 75,709.44 and 13,536

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Solution

The fourth proportional to 50,474.88, 75,709.44 and 13,536 is: 20,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,474.88 : 75,709.44 = 13,536 : x
  2. Step 2: Convert to fraction form
    50,474.88/75,709.44 = 13,536/x
  3. Step 3: Cross multiply
    50,474.88x = 75,709.44 × 13,536
  4. Step 4: Simplify right side
    50,474.88x = 1,024,802,979.84
  5. Step 5: Solve for x
    x = 1,024,802,979.84/50,474.88
  6. Step 6: Final answer
    x = 20,303.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.