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Finding the Fourth Proportional to 51,208.80, 76,813.20 and 27,823.20

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Solution

The fourth proportional to 51,208.80, 76,813.20 and 27,823.20 is: 41,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,208.80 : 76,813.20 = 27,823.20 : x
  2. Step 2: Convert to fraction form
    51,208.80/76,813.20 = 27,823.20/x
  3. Step 3: Cross multiply
    51,208.80x = 76,813.20 × 27,823.20
  4. Step 4: Simplify right side
    51,208.80x = 2,137,189,026.24
  5. Step 5: Solve for x
    x = 2,137,189,026.24/51,208.80
  6. Step 6: Final answer
    x = 41,734.80

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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.