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Finding the Fourth Proportional to 38,338.60, 52,907.16 and 21,571.60

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Solution

The fourth proportional to 38,338.60, 52,907.16 and 21,571.60 is: 29,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.60 : 52,907.16 = 21,571.60 : x
  2. Step 2: Convert to fraction form
    38,338.60/52,907.16 = 21,571.60/x
  3. Step 3: Cross multiply
    38,338.60x = 52,907.16 × 21,571.60
  4. Step 4: Simplify right side
    38,338.60x = 1,141,292,092.66
  5. Step 5: Solve for x
    x = 1,141,292,092.66/38,338.60
  6. Step 6: Final answer
    x = 29,768.75

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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.