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Finding the Fourth Proportional to 29,457, 44,195.22 and 11,917.26

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Solution

The fourth proportional to 29,457, 44,195.22 and 11,917.26 is: 17,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457 : 44,195.22 = 11,917.26 : x
  2. Step 2: Convert to fraction form
    29,457/44,195.22 = 11,917.26/x
  3. Step 3: Cross multiply
    29,457x = 44,195.22 × 11,917.26
  4. Step 4: Simplify right side
    29,457x = 526,685,927.50
  5. Step 5: Solve for x
    x = 526,685,927.50/29,457
  6. Step 6: Final answer
    x = 17,879.82

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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.