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Finding the Fourth Proportional to 50,894.52, 70,234.46 and 31,022.52

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Solution

The fourth proportional to 50,894.52, 70,234.46 and 31,022.52 is: 42,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.52 : 70,234.46 = 31,022.52 : x
  2. Step 2: Convert to fraction form
    50,894.52/70,234.46 = 31,022.52/x
  3. Step 3: Cross multiply
    50,894.52x = 70,234.46 × 31,022.52
  4. Step 4: Simplify right side
    50,894.52x = 2,178,849,940.04
  5. Step 5: Solve for x
    x = 2,178,849,940.04/50,894.52
  6. Step 6: Final answer
    x = 42,811.09

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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.