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Finding the Fourth Proportional to 34,141.94, 51,177.72 and 13,076.24

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Solution

The fourth proportional to 34,141.94, 51,177.72 and 13,076.24 is: 19,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.94 : 51,177.72 = 13,076.24 : x
  2. Step 2: Convert to fraction form
    34,141.94/51,177.72 = 13,076.24/x
  3. Step 3: Cross multiply
    34,141.94x = 51,177.72 × 13,076.24
  4. Step 4: Simplify right side
    34,141.94x = 669,212,149.37
  5. Step 5: Solve for x
    x = 669,212,149.37/34,141.94
  6. Step 6: Final answer
    x = 19,600.88

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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.