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Finding the Fourth Proportional to 33,661, 46,451.56 and 18,347.68

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Solution

The fourth proportional to 33,661, 46,451.56 and 18,347.68 is: 25,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661 : 46,451.56 = 18,347.68 : x
  2. Step 2: Convert to fraction form
    33,661/46,451.56 = 18,347.68/x
  3. Step 3: Cross multiply
    33,661x = 46,451.56 × 18,347.68
  4. Step 4: Simplify right side
    33,661x = 852,278,358.38
  5. Step 5: Solve for x
    x = 852,278,358.38/33,661
  6. Step 6: Final answer
    x = 25,319.46

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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.