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Finding the Fourth Proportional to 34,522.88, 51,784.95 and 10,829.90

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Solution

The fourth proportional to 34,522.88, 51,784.95 and 10,829.90 is: 16,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522.88 : 51,784.95 = 10,829.90 : x
  2. Step 2: Convert to fraction form
    34,522.88/51,784.95 = 10,829.90/x
  3. Step 3: Cross multiply
    34,522.88x = 51,784.95 × 10,829.90
  4. Step 4: Simplify right side
    34,522.88x = 560,825,571.08
  5. Step 5: Solve for x
    x = 560,825,571.08/34,522.88
  6. Step 6: Final answer
    x = 16,245.04

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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.