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Finding the Fourth Proportional to 30,596.68, 45,856.14 and 16,729.48

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Solution

The fourth proportional to 30,596.68, 45,856.14 and 16,729.48 is: 25,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.68 : 45,856.14 = 16,729.48 : x
  2. Step 2: Convert to fraction form
    30,596.68/45,856.14 = 16,729.48/x
  3. Step 3: Cross multiply
    30,596.68x = 45,856.14 × 16,729.48
  4. Step 4: Simplify right side
    30,596.68x = 767,149,377.01
  5. Step 5: Solve for x
    x = 767,149,377.01/30,596.68
  6. Step 6: Final answer
    x = 25,072.96

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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.