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Finding the Fourth Proportional to 38,468.40, 57,702.60 and 12,175.80

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Solution

The fourth proportional to 38,468.40, 57,702.60 and 12,175.80 is: 18,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.40 : 57,702.60 = 12,175.80 : x
  2. Step 2: Convert to fraction form
    38,468.40/57,702.60 = 12,175.80/x
  3. Step 3: Cross multiply
    38,468.40x = 57,702.60 × 12,175.80
  4. Step 4: Simplify right side
    38,468.40x = 702,575,317.08
  5. Step 5: Solve for x
    x = 702,575,317.08/38,468.40
  6. Step 6: Final answer
    x = 18,263.70

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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.