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Finding the Fourth Proportional to 30,602.07, 45,900.92 and 8,112.24

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Solution

The fourth proportional to 30,602.07, 45,900.92 and 8,112.24 is: 12,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.07 : 45,900.92 = 8,112.24 : x
  2. Step 2: Convert to fraction form
    30,602.07/45,900.92 = 8,112.24/x
  3. Step 3: Cross multiply
    30,602.07x = 45,900.92 × 8,112.24
  4. Step 4: Simplify right side
    30,602.07x = 372,359,299.54
  5. Step 5: Solve for x
    x = 372,359,299.54/30,602.07
  6. Step 6: Final answer
    x = 12,167.78

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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.