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Finding the Fourth Proportional to 30,202.79, 41,665.38 and 21,255.26

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Solution

The fourth proportional to 30,202.79, 41,665.38 and 21,255.26 is: 29,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.79 : 41,665.38 = 21,255.26 : x
  2. Step 2: Convert to fraction form
    30,202.79/41,665.38 = 21,255.26/x
  3. Step 3: Cross multiply
    30,202.79x = 41,665.38 × 21,255.26
  4. Step 4: Simplify right side
    30,202.79x = 885,608,276.57
  5. Step 5: Solve for x
    x = 885,608,276.57/30,202.79
  6. Step 6: Final answer
    x = 29,322.07

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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.