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Finding the Fourth Proportional to 50,145.50, 75,252.81 and 17,313.50

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Solution

The fourth proportional to 50,145.50, 75,252.81 and 17,313.50 is: 25,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145.50 : 75,252.81 = 17,313.50 : x
  2. Step 2: Convert to fraction form
    50,145.50/75,252.81 = 17,313.50/x
  3. Step 3: Cross multiply
    50,145.50x = 75,252.81 × 17,313.50
  4. Step 4: Simplify right side
    50,145.50x = 1,302,889,525.94
  5. Step 5: Solve for x
    x = 1,302,889,525.94/50,145.50
  6. Step 6: Final answer
    x = 25,982.18

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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.