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Finding the Fourth Proportional to 41,322, 57,029.23 and 24,555

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Solution

The fourth proportional to 41,322, 57,029.23 and 24,555 is: 33,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322 : 57,029.23 = 24,555 : x
  2. Step 2: Convert to fraction form
    41,322/57,029.23 = 24,555/x
  3. Step 3: Cross multiply
    41,322x = 57,029.23 × 24,555
  4. Step 4: Simplify right side
    41,322x = 1,400,352,742.65
  5. Step 5: Solve for x
    x = 1,400,352,742.65/41,322
  6. Step 6: Final answer
    x = 33,888.79

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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.