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Finding the Fourth Proportional to 34,527.12, 51,755.82 and 13,453.98

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Solution

The fourth proportional to 34,527.12, 51,755.82 and 13,453.98 is: 20,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527.12 : 51,755.82 = 13,453.98 : x
  2. Step 2: Convert to fraction form
    34,527.12/51,755.82 = 13,453.98/x
  3. Step 3: Cross multiply
    34,527.12x = 51,755.82 × 13,453.98
  4. Step 4: Simplify right side
    34,527.12x = 696,321,767.16
  5. Step 5: Solve for x
    x = 696,321,767.16/34,527.12
  6. Step 6: Final answer
    x = 20,167.39

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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.