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Finding the Fourth Proportional to 75,891.16, 113,820.44 and 22,570.30

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Solution

The fourth proportional to 75,891.16, 113,820.44 and 22,570.30 is: 33,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.16 : 113,820.44 = 22,570.30 : x
  2. Step 2: Convert to fraction form
    75,891.16/113,820.44 = 22,570.30/x
  3. Step 3: Cross multiply
    75,891.16x = 113,820.44 × 22,570.30
  4. Step 4: Simplify right side
    75,891.16x = 2,568,961,476.93
  5. Step 5: Solve for x
    x = 2,568,961,476.93/75,891.16
  6. Step 6: Final answer
    x = 33,850.60

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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.