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Finding the Fourth Proportional to 36,596.34, 50,503.05 and 19,829.34

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Solution

The fourth proportional to 36,596.34, 50,503.05 and 19,829.34 is: 27,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.34 : 50,503.05 = 19,829.34 : x
  2. Step 2: Convert to fraction form
    36,596.34/50,503.05 = 19,829.34/x
  3. Step 3: Cross multiply
    36,596.34x = 50,503.05 × 19,829.34
  4. Step 4: Simplify right side
    36,596.34x = 1,001,442,149.49
  5. Step 5: Solve for x
    x = 1,001,442,149.49/36,596.34
  6. Step 6: Final answer
    x = 27,364.54

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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.