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Finding the Fourth Proportional to 33,677, 46,472.16 and 18,569.82

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Solution

The fourth proportional to 33,677, 46,472.16 and 18,569.82 is: 25,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 46,472.16 = 18,569.82 : x
  2. Step 2: Convert to fraction form
    33,677/46,472.16 = 18,569.82/x
  3. Step 3: Cross multiply
    33,677x = 46,472.16 × 18,569.82
  4. Step 4: Simplify right side
    33,677x = 862,979,646.21
  5. Step 5: Solve for x
    x = 862,979,646.21/33,677
  6. Step 6: Final answer
    x = 25,625.19

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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.