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Finding the Fourth Proportional to 47,774.58, 71,634.42 and 19,713.96

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Solution

The fourth proportional to 47,774.58, 71,634.42 and 19,713.96 is: 29,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.58 : 71,634.42 = 19,713.96 : x
  2. Step 2: Convert to fraction form
    47,774.58/71,634.42 = 19,713.96/x
  3. Step 3: Cross multiply
    47,774.58x = 71,634.42 × 19,713.96
  4. Step 4: Simplify right side
    47,774.58x = 1,412,198,090.50
  5. Step 5: Solve for x
    x = 1,412,198,090.50/47,774.58
  6. Step 6: Final answer
    x = 29,559.61

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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.