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Finding the Fourth Proportional to 34,071.70, 51,050.83 and 11,872.84

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Solution

The fourth proportional to 34,071.70, 51,050.83 and 11,872.84 is: 17,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.70 : 51,050.83 = 11,872.84 : x
  2. Step 2: Convert to fraction form
    34,071.70/51,050.83 = 11,872.84/x
  3. Step 3: Cross multiply
    34,071.70x = 51,050.83 × 11,872.84
  4. Step 4: Simplify right side
    34,071.70x = 606,118,336.46
  5. Step 5: Solve for x
    x = 606,118,336.46/34,071.70
  6. Step 6: Final answer
    x = 17,789.49

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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.