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Finding the Fourth Proportional to 34,100.70, 51,127.91 and 11,901.94

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Solution

The fourth proportional to 34,100.70, 51,127.91 and 11,901.94 is: 17,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.70 : 51,127.91 = 11,901.94 : x
  2. Step 2: Convert to fraction form
    34,100.70/51,127.91 = 11,901.94/x
  3. Step 3: Cross multiply
    34,100.70x = 51,127.91 × 11,901.94
  4. Step 4: Simplify right side
    34,100.70x = 608,521,174.45
  5. Step 5: Solve for x
    x = 608,521,174.45/34,100.70
  6. Step 6: Final answer
    x = 17,844.83

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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.