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Finding the Fourth Proportional to 75,992.82, 113,989.22 and 20,588.82

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Solution

The fourth proportional to 75,992.82, 113,989.22 and 20,588.82 is: 30,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.82 : 113,989.22 = 20,588.82 : x
  2. Step 2: Convert to fraction form
    75,992.82/113,989.22 = 20,588.82/x
  3. Step 3: Cross multiply
    75,992.82x = 113,989.22 × 20,588.82
  4. Step 4: Simplify right side
    75,992.82x = 2,346,903,429.58
  5. Step 5: Solve for x
    x = 2,346,903,429.58/75,992.82
  6. Step 6: Final answer
    x = 30,883.23

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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.