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Finding the Fourth Proportional to 34,213.46, 47,212.77 and 19,308.50

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Solution

The fourth proportional to 34,213.46, 47,212.77 and 19,308.50 is: 26,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.46 : 47,212.77 = 19,308.50 : x
  2. Step 2: Convert to fraction form
    34,213.46/47,212.77 = 19,308.50/x
  3. Step 3: Cross multiply
    34,213.46x = 47,212.77 × 19,308.50
  4. Step 4: Simplify right side
    34,213.46x = 911,607,769.55
  5. Step 5: Solve for x
    x = 911,607,769.55/34,213.46
  6. Step 6: Final answer
    x = 26,644.71

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