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Finding the Fourth Proportional to 38,076.44, 57,117.54 and 11,783.84

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Solution

The fourth proportional to 38,076.44, 57,117.54 and 11,783.84 is: 17,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.44 : 57,117.54 = 11,783.84 : x
  2. Step 2: Convert to fraction form
    38,076.44/57,117.54 = 11,783.84/x
  3. Step 3: Cross multiply
    38,076.44x = 57,117.54 × 11,783.84
  4. Step 4: Simplify right side
    38,076.44x = 673,063,952.55
  5. Step 5: Solve for x
    x = 673,063,952.55/38,076.44
  6. Step 6: Final answer
    x = 17,676.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.