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Finding the Fourth Proportional to 41,688, 57,529.44 and 22,825.26

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Solution

The fourth proportional to 41,688, 57,529.44 and 22,825.26 is: 31,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688 : 57,529.44 = 22,825.26 : x
  2. Step 2: Convert to fraction form
    41,688/57,529.44 = 22,825.26/x
  3. Step 3: Cross multiply
    41,688x = 57,529.44 × 22,825.26
  4. Step 4: Simplify right side
    41,688x = 1,313,124,425.65
  5. Step 5: Solve for x
    x = 1,313,124,425.65/41,688
  6. Step 6: Final answer
    x = 31,498.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.