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Finding the Fourth Proportional to 30,178.72, 45,270.42 and 7,991.56

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Solution

The fourth proportional to 30,178.72, 45,270.42 and 7,991.56 is: 11,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.72 : 45,270.42 = 7,991.56 : x
  2. Step 2: Convert to fraction form
    30,178.72/45,270.42 = 7,991.56/x
  3. Step 3: Cross multiply
    30,178.72x = 45,270.42 × 7,991.56
  4. Step 4: Simplify right side
    30,178.72x = 361,781,277.66
  5. Step 5: Solve for x
    x = 361,781,277.66/30,178.72
  6. Step 6: Final answer
    x = 11,987.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.