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Finding the Fourth Proportional to 34,782.98, 52,182.02 and 11,408.54

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Solution

The fourth proportional to 34,782.98, 52,182.02 and 11,408.54 is: 17,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.98 : 52,182.02 = 11,408.54 : x
  2. Step 2: Convert to fraction form
    34,782.98/52,182.02 = 11,408.54/x
  3. Step 3: Cross multiply
    34,782.98x = 52,182.02 × 11,408.54
  4. Step 4: Simplify right side
    34,782.98x = 595,320,662.45
  5. Step 5: Solve for x
    x = 595,320,662.45/34,782.98
  6. Step 6: Final answer
    x = 17,115.29

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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.