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Finding the Fourth Proportional to 38,078.76, 57,120.88 and 11,780.12

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Solution

The fourth proportional to 38,078.76, 57,120.88 and 11,780.12 is: 17,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.76 : 57,120.88 = 11,780.12 : x
  2. Step 2: Convert to fraction form
    38,078.76/57,120.88 = 11,780.12/x
  3. Step 3: Cross multiply
    38,078.76x = 57,120.88 × 11,780.12
  4. Step 4: Simplify right side
    38,078.76x = 672,890,820.91
  5. Step 5: Solve for x
    x = 672,890,820.91/38,078.76
  6. Step 6: Final answer
    x = 17,671.03

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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.