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Finding the Fourth Proportional to 38,287.50, 52,836.75 and 21,520.50

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Solution

The fourth proportional to 38,287.50, 52,836.75 and 21,520.50 is: 29,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.50 : 52,836.75 = 21,520.50 : x
  2. Step 2: Convert to fraction form
    38,287.50/52,836.75 = 21,520.50/x
  3. Step 3: Cross multiply
    38,287.50x = 52,836.75 × 21,520.50
  4. Step 4: Simplify right side
    38,287.50x = 1,137,073,278.38
  5. Step 5: Solve for x
    x = 1,137,073,278.38/38,287.50
  6. Step 6: Final answer
    x = 29,698.29

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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.