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Finding the Fourth Proportional to 20,093.88, 30,137.34 and 5,302.92

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Solution

The fourth proportional to 20,093.88, 30,137.34 and 5,302.92 is: 7,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.88 : 30,137.34 = 5,302.92 : x
  2. Step 2: Convert to fraction form
    20,093.88/30,137.34 = 5,302.92/x
  3. Step 3: Cross multiply
    20,093.88x = 30,137.34 × 5,302.92
  4. Step 4: Simplify right side
    20,093.88x = 159,815,903.03
  5. Step 5: Solve for x
    x = 159,815,903.03/20,093.88
  6. Step 6: Final answer
    x = 7,953.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.