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Finding the Fourth Proportional to 34,782.56, 52,138.62 and 13,737.44

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Solution

The fourth proportional to 34,782.56, 52,138.62 and 13,737.44 is: 20,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.56 : 52,138.62 = 13,737.44 : x
  2. Step 2: Convert to fraction form
    34,782.56/52,138.62 = 13,737.44/x
  3. Step 3: Cross multiply
    34,782.56x = 52,138.62 × 13,737.44
  4. Step 4: Simplify right side
    34,782.56x = 716,251,163.93
  5. Step 5: Solve for x
    x = 716,251,163.93/34,782.56
  6. Step 6: Final answer
    x = 20,592.25

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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.