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Finding the Fourth Proportional to 33,208, 45,827.36 and 18,304.32

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Solution

The fourth proportional to 33,208, 45,827.36 and 18,304.32 is: 25,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208 : 45,827.36 = 18,304.32 : x
  2. Step 2: Convert to fraction form
    33,208/45,827.36 = 18,304.32/x
  3. Step 3: Cross multiply
    33,208x = 45,827.36 × 18,304.32
  4. Step 4: Simplify right side
    33,208x = 838,838,662.20
  5. Step 5: Solve for x
    x = 838,838,662.20/33,208
  6. Step 6: Final answer
    x = 25,260.14

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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.