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Finding the Fourth Proportional to 33,677, 46,472.16 and 18,569.84

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Solution

The fourth proportional to 33,677, 46,472.16 and 18,569.84 is: 25,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 46,472.16 = 18,569.84 : x
  2. Step 2: Convert to fraction form
    33,677/46,472.16 = 18,569.84/x
  3. Step 3: Cross multiply
    33,677x = 46,472.16 × 18,569.84
  4. Step 4: Simplify right side
    33,677x = 862,980,575.65
  5. Step 5: Solve for x
    x = 862,980,575.65/33,677
  6. Step 6: Final answer
    x = 25,625.22

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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.