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Finding the Fourth Proportional to 30,580.62, 42,181.83 and 22,095.20

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Solution

The fourth proportional to 30,580.62, 42,181.83 and 22,095.20 is: 30,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.62 : 42,181.83 = 22,095.20 : x
  2. Step 2: Convert to fraction form
    30,580.62/42,181.83 = 22,095.20/x
  3. Step 3: Cross multiply
    30,580.62x = 42,181.83 × 22,095.20
  4. Step 4: Simplify right side
    30,580.62x = 932,015,759.31
  5. Step 5: Solve for x
    x = 932,015,759.31/30,580.62
  6. Step 6: Final answer
    x = 30,477.33

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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.