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Finding the Fourth Proportional to 35,580, 49,100.48 and 21,433.44

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Solution

The fourth proportional to 35,580, 49,100.48 and 21,433.44 is: 29,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580 : 49,100.48 = 21,433.44 : x
  2. Step 2: Convert to fraction form
    35,580/49,100.48 = 21,433.44/x
  3. Step 3: Cross multiply
    35,580x = 49,100.48 × 21,433.44
  4. Step 4: Simplify right side
    35,580x = 1,052,392,192.05
  5. Step 5: Solve for x
    x = 1,052,392,192.05/35,580
  6. Step 6: Final answer
    x = 29,578.20

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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.