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Finding the Fourth Proportional to 33,585.54, 50,378.34 and 10,212

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Solution

The fourth proportional to 33,585.54, 50,378.34 and 10,212 is: 15,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.54 : 50,378.34 = 10,212 : x
  2. Step 2: Convert to fraction form
    33,585.54/50,378.34 = 10,212/x
  3. Step 3: Cross multiply
    33,585.54x = 50,378.34 × 10,212
  4. Step 4: Simplify right side
    33,585.54x = 514,463,608.08
  5. Step 5: Solve for x
    x = 514,463,608.08/33,585.54
  6. Step 6: Final answer
    x = 15,318.01

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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.