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Finding the Fourth Proportional to 35,673.96, 49,217.41 and 21,323.82

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Solution

The fourth proportional to 35,673.96, 49,217.41 and 21,323.82 is: 29,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.96 : 49,217.41 = 21,323.82 : x
  2. Step 2: Convert to fraction form
    35,673.96/49,217.41 = 21,323.82/x
  3. Step 3: Cross multiply
    35,673.96x = 49,217.41 × 21,323.82
  4. Step 4: Simplify right side
    35,673.96x = 1,049,503,165.30
  5. Step 5: Solve for x
    x = 1,049,503,165.30/35,673.96
  6. Step 6: Final answer
    x = 29,419.31

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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.