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Finding the Fourth Proportional to 75,982.80, 113,974.20 and 19,822.80

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Solution

The fourth proportional to 75,982.80, 113,974.20 and 19,822.80 is: 29,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982.80 : 113,974.20 = 19,822.80 : x
  2. Step 2: Convert to fraction form
    75,982.80/113,974.20 = 19,822.80/x
  3. Step 3: Cross multiply
    75,982.80x = 113,974.20 × 19,822.80
  4. Step 4: Simplify right side
    75,982.80x = 2,259,287,771.76
  5. Step 5: Solve for x
    x = 2,259,287,771.76/75,982.80
  6. Step 6: Final answer
    x = 29,734.20

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1.5x scale

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.