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Finding the Fourth Proportional to 34,141.50, 51,177.06 and 13,076.58

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Solution

The fourth proportional to 34,141.50, 51,177.06 and 13,076.58 is: 19,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.50 : 51,177.06 = 13,076.58 : x
  2. Step 2: Convert to fraction form
    34,141.50/51,177.06 = 13,076.58/x
  3. Step 3: Cross multiply
    34,141.50x = 51,177.06 × 13,076.58
  4. Step 4: Simplify right side
    34,141.50x = 669,220,919.25
  5. Step 5: Solve for x
    x = 669,220,919.25/34,141.50
  6. Step 6: Final answer
    x = 19,601.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.