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Finding the Fourth Proportional to 107,016.32, 160,524.53 and 27,054.53

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Solution

The fourth proportional to 107,016.32, 160,524.53 and 27,054.53 is: 40,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,016.32 : 160,524.53 = 27,054.53 : x
  2. Step 2: Convert to fraction form
    107,016.32/160,524.53 = 27,054.53/x
  3. Step 3: Cross multiply
    107,016.32x = 160,524.53 × 27,054.53
  4. Step 4: Simplify right side
    107,016.32x = 4,342,914,774.73
  5. Step 5: Solve for x
    x = 4,342,914,774.73/107,016.32
  6. Step 6: Final answer
    x = 40,581.80

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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.