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Finding the Fourth Proportional to 38,765.10, 53,453.76 and 33,684.42

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Solution

The fourth proportional to 38,765.10, 53,453.76 and 33,684.42 is: 46,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.10 : 53,453.76 = 33,684.42 : x
  2. Step 2: Convert to fraction form
    38,765.10/53,453.76 = 33,684.42/x
  3. Step 3: Cross multiply
    38,765.10x = 53,453.76 × 33,684.42
  4. Step 4: Simplify right side
    38,765.10x = 1,800,558,902.42
  5. Step 5: Solve for x
    x = 1,800,558,902.42/38,765.10
  6. Step 6: Final answer
    x = 46,447.94

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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.