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Finding the Fourth Proportional to 34,754.34, 52,120.50 and 12,564.78

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Solution

The fourth proportional to 34,754.34, 52,120.50 and 12,564.78 is: 18,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754.34 : 52,120.50 = 12,564.78 : x
  2. Step 2: Convert to fraction form
    34,754.34/52,120.50 = 12,564.78/x
  3. Step 3: Cross multiply
    34,754.34x = 52,120.50 × 12,564.78
  4. Step 4: Simplify right side
    34,754.34x = 654,882,615.99
  5. Step 5: Solve for x
    x = 654,882,615.99/34,754.34
  6. Step 6: Final answer
    x = 18,843.19

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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.