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Finding the Fourth Proportional to 30,872.88, 46,327.50 and 21,392.64

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Solution

The fourth proportional to 30,872.88, 46,327.50 and 21,392.64 is: 32,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.88 : 46,327.50 = 21,392.64 : x
  2. Step 2: Convert to fraction form
    30,872.88/46,327.50 = 21,392.64/x
  3. Step 3: Cross multiply
    30,872.88x = 46,327.50 × 21,392.64
  4. Step 4: Simplify right side
    30,872.88x = 991,067,529.60
  5. Step 5: Solve for x
    x = 991,067,529.60/30,872.88
  6. Step 6: Final answer
    x = 32,101.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.