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Finding the Fourth Proportional to 33,470, 46,190.76 and 18,566

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Solution

The fourth proportional to 33,470, 46,190.76 and 18,566 is: 25,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470 : 46,190.76 = 18,566 : x
  2. Step 2: Convert to fraction form
    33,470/46,190.76 = 18,566/x
  3. Step 3: Cross multiply
    33,470x = 46,190.76 × 18,566
  4. Step 4: Simplify right side
    33,470x = 857,577,650.16
  5. Step 5: Solve for x
    x = 857,577,650.16/33,470
  6. Step 6: Final answer
    x = 25,622.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.