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Finding the Fourth Proportional to 33,564, 46,318.48 and 18,660

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Solution

The fourth proportional to 33,564, 46,318.48 and 18,660 is: 25,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 46,318.48 = 18,660 : x
  2. Step 2: Convert to fraction form
    33,564/46,318.48 = 18,660/x
  3. Step 3: Cross multiply
    33,564x = 46,318.48 × 18,660
  4. Step 4: Simplify right side
    33,564x = 864,302,836.80
  5. Step 5: Solve for x
    x = 864,302,836.80/33,564
  6. Step 6: Final answer
    x = 25,750.89

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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.