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Finding the Fourth Proportional to 34,763.76, 47,974.35 and 20,424.19

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Solution

The fourth proportional to 34,763.76, 47,974.35 and 20,424.19 is: 28,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,763.76 : 47,974.35 = 20,424.19 : x
  2. Step 2: Convert to fraction form
    34,763.76/47,974.35 = 20,424.19/x
  3. Step 3: Cross multiply
    34,763.76x = 47,974.35 × 20,424.19
  4. Step 4: Simplify right side
    34,763.76x = 979,836,999.65
  5. Step 5: Solve for x
    x = 979,836,999.65/34,763.76
  6. Step 6: Final answer
    x = 28,185.59

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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.