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Finding the Fourth Proportional to 27,768.80, 41,696.40 and 16,104.80

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Solution

The fourth proportional to 27,768.80, 41,696.40 and 16,104.80 is: 24,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.80 : 41,696.40 = 16,104.80 : x
  2. Step 2: Convert to fraction form
    27,768.80/41,696.40 = 16,104.80/x
  3. Step 3: Cross multiply
    27,768.80x = 41,696.40 × 16,104.80
  4. Step 4: Simplify right side
    27,768.80x = 671,512,182.72
  5. Step 5: Solve for x
    x = 671,512,182.72/27,768.80
  6. Step 6: Final answer
    x = 24,182.25

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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.