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Finding the Fourth Proportional to 33,624, 46,400.81 and 18,516.39

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Solution

The fourth proportional to 33,624, 46,400.81 and 18,516.39 is: 25,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624 : 46,400.81 = 18,516.39 : x
  2. Step 2: Convert to fraction form
    33,624/46,400.81 = 18,516.39/x
  3. Step 3: Cross multiply
    33,624x = 46,400.81 × 18,516.39
  4. Step 4: Simplify right side
    33,624x = 859,175,494.28
  5. Step 5: Solve for x
    x = 859,175,494.28/33,624
  6. Step 6: Final answer
    x = 25,552.45

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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.