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Finding the Fourth Proportional to 47,198.70, 65,125.22 and 30,189.92

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Solution

The fourth proportional to 47,198.70, 65,125.22 and 30,189.92 is: 41,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198.70 : 65,125.22 = 30,189.92 : x
  2. Step 2: Convert to fraction form
    47,198.70/65,125.22 = 30,189.92/x
  3. Step 3: Cross multiply
    47,198.70x = 65,125.22 × 30,189.92
  4. Step 4: Simplify right side
    47,198.70x = 1,966,124,705.21
  5. Step 5: Solve for x
    x = 1,966,124,705.21/47,198.70
  6. Step 6: Final answer
    x = 41,656.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.