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Finding the Fourth Proportional to 34,640.03, 51,965.51 and 11,261

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Solution

The fourth proportional to 34,640.03, 51,965.51 and 11,261 is: 16,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.03 : 51,965.51 = 11,261 : x
  2. Step 2: Convert to fraction form
    34,640.03/51,965.51 = 11,261/x
  3. Step 3: Cross multiply
    34,640.03x = 51,965.51 × 11,261
  4. Step 4: Simplify right side
    34,640.03x = 585,183,608.11
  5. Step 5: Solve for x
    x = 585,183,608.11/34,640.03
  6. Step 6: Final answer
    x = 16,893.28

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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.