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Finding the Fourth Proportional to 30,622, 45,663.45 and 28,198.48

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Solution

The fourth proportional to 30,622, 45,663.45 and 28,198.48 is: 42,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622 : 45,663.45 = 28,198.48 : x
  2. Step 2: Convert to fraction form
    30,622/45,663.45 = 28,198.48/x
  3. Step 3: Cross multiply
    30,622x = 45,663.45 × 28,198.48
  4. Step 4: Simplify right side
    30,622x = 1,287,639,881.56
  5. Step 5: Solve for x
    x = 1,287,639,881.56/30,622
  6. Step 6: Final answer
    x = 42,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.