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Finding the Fourth Proportional to 38,356.20, 52,840.80 and 36,584.64

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Solution

The fourth proportional to 38,356.20, 52,840.80 and 36,584.64 is: 50,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356.20 : 52,840.80 = 36,584.64 : x
  2. Step 2: Convert to fraction form
    38,356.20/52,840.80 = 36,584.64/x
  3. Step 3: Cross multiply
    38,356.20x = 52,840.80 × 36,584.64
  4. Step 4: Simplify right side
    38,356.20x = 1,933,161,645.31
  5. Step 5: Solve for x
    x = 1,933,161,645.31/38,356.20
  6. Step 6: Final answer
    x = 50,400.24

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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.