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Finding the Fourth Proportional to 38,682.75, 53,382.20 and 21,915.75

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Solution

The fourth proportional to 38,682.75, 53,382.20 and 21,915.75 is: 30,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682.75 : 53,382.20 = 21,915.75 : x
  2. Step 2: Convert to fraction form
    38,682.75/53,382.20 = 21,915.75/x
  3. Step 3: Cross multiply
    38,682.75x = 53,382.20 × 21,915.75
  4. Step 4: Simplify right side
    38,682.75x = 1,169,910,840.07
  5. Step 5: Solve for x
    x = 1,169,910,840.07/38,682.75
  6. Step 6: Final answer
    x = 30,243.74

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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.