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Finding the Fourth Proportional to 38,507.44, 57,629.74 and 32,274.49

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Solution

The fourth proportional to 38,507.44, 57,629.74 and 32,274.49 is: 48,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.44 : 57,629.74 = 32,274.49 : x
  2. Step 2: Convert to fraction form
    38,507.44/57,629.74 = 32,274.49/x
  3. Step 3: Cross multiply
    38,507.44x = 57,629.74 × 32,274.49
  4. Step 4: Simplify right side
    38,507.44x = 1,859,970,386.65
  5. Step 5: Solve for x
    x = 1,859,970,386.65/38,507.44
  6. Step 6: Final answer
    x = 48,301.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.