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Finding the Fourth Proportional to 33,268.68, 45,909.62 and 19,833

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Solution

The fourth proportional to 33,268.68, 45,909.62 and 19,833 is: 27,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268.68 : 45,909.62 = 19,833 : x
  2. Step 2: Convert to fraction form
    33,268.68/45,909.62 = 19,833/x
  3. Step 3: Cross multiply
    33,268.68x = 45,909.62 × 19,833
  4. Step 4: Simplify right side
    33,268.68x = 910,525,493.46
  5. Step 5: Solve for x
    x = 910,525,493.46/33,268.68
  6. Step 6: Final answer
    x = 27,368.85

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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.