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Finding the Fourth Proportional to 27,780, 41,674.34 and 9,055.69

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Solution

The fourth proportional to 27,780, 41,674.34 and 9,055.69 is: 13,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 41,674.34 = 9,055.69 : x
  2. Step 2: Convert to fraction form
    27,780/41,674.34 = 9,055.69/x
  3. Step 3: Cross multiply
    27,780x = 41,674.34 × 9,055.69
  4. Step 4: Simplify right side
    27,780x = 377,389,903.99
  5. Step 5: Solve for x
    x = 377,389,903.99/27,780
  6. Step 6: Final answer
    x = 13,584.95

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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.