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Finding the Fourth Proportional to 33,573.66, 46,354.35 and 20,832

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Solution

The fourth proportional to 33,573.66, 46,354.35 and 20,832 is: 28,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573.66 : 46,354.35 = 20,832 : x
  2. Step 2: Convert to fraction form
    33,573.66/46,354.35 = 20,832/x
  3. Step 3: Cross multiply
    33,573.66x = 46,354.35 × 20,832
  4. Step 4: Simplify right side
    33,573.66x = 965,653,819.20
  5. Step 5: Solve for x
    x = 965,653,819.20/33,573.66
  6. Step 6: Final answer
    x = 28,762.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.