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Finding the Fourth Proportional to 30,171.29, 45,252 and 7,986.06

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Solution

The fourth proportional to 30,171.29, 45,252 and 7,986.06 is: 11,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171.29 : 45,252 = 7,986.06 : x
  2. Step 2: Convert to fraction form
    30,171.29/45,252 = 7,986.06/x
  3. Step 3: Cross multiply
    30,171.29x = 45,252 × 7,986.06
  4. Step 4: Simplify right side
    30,171.29x = 361,385,187.12
  5. Step 5: Solve for x
    x = 361,385,187.12/30,171.29
  6. Step 6: Final answer
    x = 11,977.79

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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.