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Finding the Fourth Proportional to 50,498.18, 69,684.36 and 27,836

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Solution

The fourth proportional to 50,498.18, 69,684.36 and 27,836 is: 38,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.18 : 69,684.36 = 27,836 : x
  2. Step 2: Convert to fraction form
    50,498.18/69,684.36 = 27,836/x
  3. Step 3: Cross multiply
    50,498.18x = 69,684.36 × 27,836
  4. Step 4: Simplify right side
    50,498.18x = 1,939,733,705.78
  5. Step 5: Solve for x
    x = 1,939,733,705.78/50,498.18
  6. Step 6: Final answer
    x = 38,411.95

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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.