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Finding the Fourth Proportional to 30,566.86, 42,200.67 and 19,974.22

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Solution

The fourth proportional to 30,566.86, 42,200.67 and 19,974.22 is: 27,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.86 : 42,200.67 = 19,974.22 : x
  2. Step 2: Convert to fraction form
    30,566.86/42,200.67 = 19,974.22/x
  3. Step 3: Cross multiply
    30,566.86x = 42,200.67 × 19,974.22
  4. Step 4: Simplify right side
    30,566.86x = 842,925,466.73
  5. Step 5: Solve for x
    x = 842,925,466.73/30,566.86
  6. Step 6: Final answer
    x = 27,576.45

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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.