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Finding the Fourth Proportional to 34,162.46, 47,148.18 and 20,015

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Solution

The fourth proportional to 34,162.46, 47,148.18 and 20,015 is: 27,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.46 : 47,148.18 = 20,015 : x
  2. Step 2: Convert to fraction form
    34,162.46/47,148.18 = 20,015/x
  3. Step 3: Cross multiply
    34,162.46x = 47,148.18 × 20,015
  4. Step 4: Simplify right side
    34,162.46x = 943,670,822.70
  5. Step 5: Solve for x
    x = 943,670,822.70/34,162.46
  6. Step 6: Final answer
    x = 27,623.03

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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.