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Finding the Fourth Proportional to 30,578.92, 42,171.30 and 19,812.88

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Solution

The fourth proportional to 30,578.92, 42,171.30 and 19,812.88 is: 27,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.92 : 42,171.30 = 19,812.88 : x
  2. Step 2: Convert to fraction form
    30,578.92/42,171.30 = 19,812.88/x
  3. Step 3: Cross multiply
    30,578.92x = 42,171.30 × 19,812.88
  4. Step 4: Simplify right side
    30,578.92x = 835,534,906.34
  5. Step 5: Solve for x
    x = 835,534,906.34/30,578.92
  6. Step 6: Final answer
    x = 27,323.89

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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.