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Finding the Fourth Proportional to 46,551.88, 69,819.44 and 19,912.86

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Solution

The fourth proportional to 46,551.88, 69,819.44 and 19,912.86 is: 29,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,551.88 : 69,819.44 = 19,912.86 : x
  2. Step 2: Convert to fraction form
    46,551.88/69,819.44 = 19,912.86/x
  3. Step 3: Cross multiply
    46,551.88x = 69,819.44 × 19,912.86
  4. Step 4: Simplify right side
    46,551.88x = 1,390,304,734.00
  5. Step 5: Solve for x
    x = 1,390,304,734.00/46,551.88
  6. Step 6: Final answer
    x = 29,865.71

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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.