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Finding the Fourth Proportional to 38,033.25, 52,488.32 and 21,266.25

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Solution

The fourth proportional to 38,033.25, 52,488.32 and 21,266.25 is: 29,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.25 : 52,488.32 = 21,266.25 : x
  2. Step 2: Convert to fraction form
    38,033.25/52,488.32 = 21,266.25/x
  3. Step 3: Cross multiply
    38,033.25x = 52,488.32 × 21,266.25
  4. Step 4: Simplify right side
    38,033.25x = 1,116,229,628.87
  5. Step 5: Solve for x
    x = 1,116,229,628.87/38,033.25
  6. Step 6: Final answer
    x = 29,348.78

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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.