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Finding the Fourth Proportional to 20,042.16, 30,053.76 and 5,996.76

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Solution

The fourth proportional to 20,042.16, 30,053.76 and 5,996.76 is: 8,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.16 : 30,053.76 = 5,996.76 : x
  2. Step 2: Convert to fraction form
    20,042.16/30,053.76 = 5,996.76/x
  3. Step 3: Cross multiply
    20,042.16x = 30,053.76 × 5,996.76
  4. Step 4: Simplify right side
    20,042.16x = 180,225,185.82
  5. Step 5: Solve for x
    x = 180,225,185.82/20,042.16
  6. Step 6: Final answer
    x = 8,992.30

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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.