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Finding the Fourth Proportional to 30,891.30, 46,335.72 and 21,504.24

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Solution

The fourth proportional to 30,891.30, 46,335.72 and 21,504.24 is: 32,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.30 : 46,335.72 = 21,504.24 : x
  2. Step 2: Convert to fraction form
    30,891.30/46,335.72 = 21,504.24/x
  3. Step 3: Cross multiply
    30,891.30x = 46,335.72 × 21,504.24
  4. Step 4: Simplify right side
    30,891.30x = 996,414,443.45
  5. Step 5: Solve for x
    x = 996,414,443.45/30,891.30
  6. Step 6: Final answer
    x = 32,255.50

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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.