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Finding the Fourth Proportional to 34,023.24, 51,034.86 and 10,651.50

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Solution

The fourth proportional to 34,023.24, 51,034.86 and 10,651.50 is: 15,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.24 : 51,034.86 = 10,651.50 : x
  2. Step 2: Convert to fraction form
    34,023.24/51,034.86 = 10,651.50/x
  3. Step 3: Cross multiply
    34,023.24x = 51,034.86 × 10,651.50
  4. Step 4: Simplify right side
    34,023.24x = 543,597,811.29
  5. Step 5: Solve for x
    x = 543,597,811.29/34,023.24
  6. Step 6: Final answer
    x = 15,977.25

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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.