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Finding the Fourth Proportional to 30,496.80, 45,745.20 and 27,775.20

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Solution

The fourth proportional to 30,496.80, 45,745.20 and 27,775.20 is: 41,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.80 : 45,745.20 = 27,775.20 : x
  2. Step 2: Convert to fraction form
    30,496.80/45,745.20 = 27,775.20/x
  3. Step 3: Cross multiply
    30,496.80x = 45,745.20 × 27,775.20
  4. Step 4: Simplify right side
    30,496.80x = 1,270,582,079.04
  5. Step 5: Solve for x
    x = 1,270,582,079.04/30,496.80
  6. Step 6: Final answer
    x = 41,662.80

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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.