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Finding the Fourth Proportional to 34,139.94, 51,174.72 and 13,074.24

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Solution

The fourth proportional to 34,139.94, 51,174.72 and 13,074.24 is: 19,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,139.94 : 51,174.72 = 13,074.24 : x
  2. Step 2: Convert to fraction form
    34,139.94/51,174.72 = 13,074.24/x
  3. Step 3: Cross multiply
    34,139.94x = 51,174.72 × 13,074.24
  4. Step 4: Simplify right side
    34,139.94x = 669,070,571.21
  5. Step 5: Solve for x
    x = 669,070,571.21/34,139.94
  6. Step 6: Final answer
    x = 19,597.88

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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.