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Finding the Fourth Proportional to 34,286.34, 51,382.80 and 20,964

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Solution

The fourth proportional to 34,286.34, 51,382.80 and 20,964 is: 31,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,286.34 : 51,382.80 = 20,964 : x
  2. Step 2: Convert to fraction form
    34,286.34/51,382.80 = 20,964/x
  3. Step 3: Cross multiply
    34,286.34x = 51,382.80 × 20,964
  4. Step 4: Simplify right side
    34,286.34x = 1,077,189,019.20
  5. Step 5: Solve for x
    x = 1,077,189,019.20/34,286.34
  6. Step 6: Final answer
    x = 31,417.44

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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.