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Finding the Fourth Proportional to 33,268, 45,909.84 and 18,364

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Solution

The fourth proportional to 33,268, 45,909.84 and 18,364 is: 25,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268 : 45,909.84 = 18,364 : x
  2. Step 2: Convert to fraction form
    33,268/45,909.84 = 18,364/x
  3. Step 3: Cross multiply
    33,268x = 45,909.84 × 18,364
  4. Step 4: Simplify right side
    33,268x = 843,088,301.76
  5. Step 5: Solve for x
    x = 843,088,301.76/33,268
  6. Step 6: Final answer
    x = 25,342.32

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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.