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Finding the Fourth Proportional to 33,464, 46,180.40 and 18,562.88

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Solution

The fourth proportional to 33,464, 46,180.40 and 18,562.88 is: 25,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 46,180.40 = 18,562.88 : x
  2. Step 2: Convert to fraction form
    33,464/46,180.40 = 18,562.88/x
  3. Step 3: Cross multiply
    33,464x = 46,180.40 × 18,562.88
  4. Step 4: Simplify right side
    33,464x = 857,241,223.55
  5. Step 5: Solve for x
    x = 857,241,223.55/33,464
  6. Step 6: Final answer
    x = 25,616.82

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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.