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Finding the Fourth Proportional to 34,336.41, 47,380.24 and 19,999.38

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Solution

The fourth proportional to 34,336.41, 47,380.24 and 19,999.38 is: 27,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,336.41 : 47,380.24 = 19,999.38 : x
  2. Step 2: Convert to fraction form
    34,336.41/47,380.24 = 19,999.38/x
  3. Step 3: Cross multiply
    34,336.41x = 47,380.24 × 19,999.38
  4. Step 4: Simplify right side
    34,336.41x = 947,575,493.67
  5. Step 5: Solve for x
    x = 947,575,493.67/34,336.41
  6. Step 6: Final answer
    x = 27,596.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.