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Finding the Fourth Proportional to 50,285, 69,393.14 and 27,623.94

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Solution

The fourth proportional to 50,285, 69,393.14 and 27,623.94 is: 38,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,285 : 69,393.14 = 27,623.94 : x
  2. Step 2: Convert to fraction form
    50,285/69,393.14 = 27,623.94/x
  3. Step 3: Cross multiply
    50,285x = 69,393.14 × 27,623.94
  4. Step 4: Simplify right side
    50,285x = 1,916,911,935.77
  5. Step 5: Solve for x
    x = 1,916,911,935.77/50,285
  6. Step 6: Final answer
    x = 38,120.95

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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.