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Finding the Fourth Proportional to 38,138.53, 57,211.60 and 14,129.26

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Solution

The fourth proportional to 38,138.53, 57,211.60 and 14,129.26 is: 21,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138.53 : 57,211.60 = 14,129.26 : x
  2. Step 2: Convert to fraction form
    38,138.53/57,211.60 = 14,129.26/x
  3. Step 3: Cross multiply
    38,138.53x = 57,211.60 × 14,129.26
  4. Step 4: Simplify right side
    38,138.53x = 808,357,520.86
  5. Step 5: Solve for x
    x = 808,357,520.86/38,138.53
  6. Step 6: Final answer
    x = 21,195.30

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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.