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Finding the Fourth Proportional to 38,033.68, 52,469.01 and 24,609.31

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Solution

The fourth proportional to 38,033.68, 52,469.01 and 24,609.31 is: 33,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.68 : 52,469.01 = 24,609.31 : x
  2. Step 2: Convert to fraction form
    38,033.68/52,469.01 = 24,609.31/x
  3. Step 3: Cross multiply
    38,033.68x = 52,469.01 × 24,609.31
  4. Step 4: Simplify right side
    38,033.68x = 1,291,225,870.14
  5. Step 5: Solve for x
    x = 1,291,225,870.14/38,033.68
  6. Step 6: Final answer
    x = 33,949.54

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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.