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Finding the Fourth Proportional to 38,000.41, 57,000.62 and 9,920.39

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Solution

The fourth proportional to 38,000.41, 57,000.62 and 9,920.39 is: 14,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.41 : 57,000.62 = 9,920.39 : x
  2. Step 2: Convert to fraction form
    38,000.41/57,000.62 = 9,920.39/x
  3. Step 3: Cross multiply
    38,000.41x = 57,000.62 × 9,920.39
  4. Step 4: Simplify right side
    38,000.41x = 565,468,120.44
  5. Step 5: Solve for x
    x = 565,468,120.44/38,000.41
  6. Step 6: Final answer
    x = 14,880.58

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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.