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Finding the Fourth Proportional to 33,206, 45,827.16 and 18,304.88

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Solution

The fourth proportional to 33,206, 45,827.16 and 18,304.88 is: 25,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206 : 45,827.16 = 18,304.88 : x
  2. Step 2: Convert to fraction form
    33,206/45,827.16 = 18,304.88/x
  3. Step 3: Cross multiply
    33,206x = 45,827.16 × 18,304.88
  4. Step 4: Simplify right side
    33,206x = 838,860,664.54
  5. Step 5: Solve for x
    x = 838,860,664.54/33,206
  6. Step 6: Final answer
    x = 25,262.32

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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.