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Finding the Fourth Proportional to 33,409, 46,104.51 and 18,505

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Solution

The fourth proportional to 33,409, 46,104.51 and 18,505 is: 25,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409 : 46,104.51 = 18,505 : x
  2. Step 2: Convert to fraction form
    33,409/46,104.51 = 18,505/x
  3. Step 3: Cross multiply
    33,409x = 46,104.51 × 18,505
  4. Step 4: Simplify right side
    33,409x = 853,163,957.55
  5. Step 5: Solve for x
    x = 853,163,957.55/33,409
  6. Step 6: Final answer
    x = 25,536.95

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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.