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Finding the Fourth Proportional to 34,474.38, 51,609.51 and 21,284.34

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Solution

The fourth proportional to 34,474.38, 51,609.51 and 21,284.34 is: 31,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.38 : 51,609.51 = 21,284.34 : x
  2. Step 2: Convert to fraction form
    34,474.38/51,609.51 = 21,284.34/x
  3. Step 3: Cross multiply
    34,474.38x = 51,609.51 × 21,284.34
  4. Step 4: Simplify right side
    34,474.38x = 1,098,474,358.07
  5. Step 5: Solve for x
    x = 1,098,474,358.07/34,474.38
  6. Step 6: Final answer
    x = 31,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.