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Finding the Fourth Proportional to 30,594.83, 42,142.20 and 21,626.92

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Solution

The fourth proportional to 30,594.83, 42,142.20 and 21,626.92 is: 29,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.83 : 42,142.20 = 21,626.92 : x
  2. Step 2: Convert to fraction form
    30,594.83/42,142.20 = 21,626.92/x
  3. Step 3: Cross multiply
    30,594.83x = 42,142.20 × 21,626.92
  4. Step 4: Simplify right side
    30,594.83x = 911,405,844.20
  5. Step 5: Solve for x
    x = 911,405,844.20/30,594.83
  6. Step 6: Final answer
    x = 29,789.54

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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.