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Finding the Fourth Proportional to 38,468.20, 57,706.80 and 12,175.60

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Solution

The fourth proportional to 38,468.20, 57,706.80 and 12,175.60 is: 18,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.20 : 57,706.80 = 12,175.60 : x
  2. Step 2: Convert to fraction form
    38,468.20/57,706.80 = 12,175.60/x
  3. Step 3: Cross multiply
    38,468.20x = 57,706.80 × 12,175.60
  4. Step 4: Simplify right side
    38,468.20x = 702,614,914.08
  5. Step 5: Solve for x
    x = 702,614,914.08/38,468.20
  6. Step 6: Final answer
    x = 18,264.82

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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.