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Finding the Fourth Proportional to 38,387.50, 52,974.84 and 21,620.50

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Solution

The fourth proportional to 38,387.50, 52,974.84 and 21,620.50 is: 29,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,387.50 : 52,974.84 = 21,620.50 : x
  2. Step 2: Convert to fraction form
    38,387.50/52,974.84 = 21,620.50/x
  3. Step 3: Cross multiply
    38,387.50x = 52,974.84 × 21,620.50
  4. Step 4: Simplify right side
    38,387.50x = 1,145,342,528.22
  5. Step 5: Solve for x
    x = 1,145,342,528.22/38,387.50
  6. Step 6: Final answer
    x = 29,836.34

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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.