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Finding the Fourth Proportional to 38,339.69, 52,911.34 and 23,233.84

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Solution

The fourth proportional to 38,339.69, 52,911.34 and 23,233.84 is: 32,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,339.69 : 52,911.34 = 23,233.84 : x
  2. Step 2: Convert to fraction form
    38,339.69/52,911.34 = 23,233.84/x
  3. Step 3: Cross multiply
    38,339.69x = 52,911.34 × 23,233.84
  4. Step 4: Simplify right side
    38,339.69x = 1,229,333,450.06
  5. Step 5: Solve for x
    x = 1,229,333,450.06/38,339.69
  6. Step 6: Final answer
    x = 32,064.25

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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.