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Finding the Fourth Proportional to 34,073.82, 51,053.94 and 11,874.96

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Solution

The fourth proportional to 34,073.82, 51,053.94 and 11,874.96 is: 17,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073.82 : 51,053.94 = 11,874.96 : x
  2. Step 2: Convert to fraction form
    34,073.82/51,053.94 = 11,874.96/x
  3. Step 3: Cross multiply
    34,073.82x = 51,053.94 × 11,874.96
  4. Step 4: Simplify right side
    34,073.82x = 606,263,495.34
  5. Step 5: Solve for x
    x = 606,263,495.34/34,073.82
  6. Step 6: Final answer
    x = 17,792.65

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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.