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Finding the Fourth Proportional to 29,093.50, 43,640.18 and 7,746.22

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Solution

The fourth proportional to 29,093.50, 43,640.18 and 7,746.22 is: 11,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,093.50 : 43,640.18 = 7,746.22 : x
  2. Step 2: Convert to fraction form
    29,093.50/43,640.18 = 7,746.22/x
  3. Step 3: Cross multiply
    29,093.50x = 43,640.18 × 7,746.22
  4. Step 4: Simplify right side
    29,093.50x = 338,046,435.12
  5. Step 5: Solve for x
    x = 338,046,435.12/29,093.50
  6. Step 6: Final answer
    x = 11,619.31

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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.