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Finding the Fourth Proportional to 53,827, 80,756.94 and 27,550.36

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Solution

The fourth proportional to 53,827, 80,756.94 and 27,550.36 is: 41,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827 : 80,756.94 = 27,550.36 : x
  2. Step 2: Convert to fraction form
    53,827/80,756.94 = 27,550.36/x
  3. Step 3: Cross multiply
    53,827x = 80,756.94 × 27,550.36
  4. Step 4: Simplify right side
    53,827x = 2,224,882,769.50
  5. Step 5: Solve for x
    x = 2,224,882,769.50/53,827
  6. Step 6: Final answer
    x = 41,333.95

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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.