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Finding the Fourth Proportional to 38,076.96, 57,117.04 and 11,782.20

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Solution

The fourth proportional to 38,076.96, 57,117.04 and 11,782.20 is: 17,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.96 : 57,117.04 = 11,782.20 : x
  2. Step 2: Convert to fraction form
    38,076.96/57,117.04 = 11,782.20/x
  3. Step 3: Cross multiply
    38,076.96x = 57,117.04 × 11,782.20
  4. Step 4: Simplify right side
    38,076.96x = 672,964,388.69
  5. Step 5: Solve for x
    x = 672,964,388.69/38,076.96
  6. Step 6: Final answer
    x = 17,673.80

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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.