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Finding the Fourth Proportional to 34,142.88, 51,215.94 and 16,591.80

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Solution

The fourth proportional to 34,142.88, 51,215.94 and 16,591.80 is: 24,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.88 : 51,215.94 = 16,591.80 : x
  2. Step 2: Convert to fraction form
    34,142.88/51,215.94 = 16,591.80/x
  3. Step 3: Cross multiply
    34,142.88x = 51,215.94 × 16,591.80
  4. Step 4: Simplify right side
    34,142.88x = 849,764,633.29
  5. Step 5: Solve for x
    x = 849,764,633.29/34,142.88
  6. Step 6: Final answer
    x = 24,888.49

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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.