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Finding the Fourth Proportional to 33,200, 45,816 and 18,296

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Solution

The fourth proportional to 33,200, 45,816 and 18,296 is: 25,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200 : 45,816 = 18,296 : x
  2. Step 2: Convert to fraction form
    33,200/45,816 = 18,296/x
  3. Step 3: Cross multiply
    33,200x = 45,816 × 18,296
  4. Step 4: Simplify right side
    33,200x = 838,249,536
  5. Step 5: Solve for x
    x = 838,249,536/33,200
  6. Step 6: Final answer
    x = 25,248.48

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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.