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Finding the Fourth Proportional to 33,405.24, 45,994.32 and 28,359

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Solution

The fourth proportional to 33,405.24, 45,994.32 and 28,359 is: 39,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405.24 : 45,994.32 = 28,359 : x
  2. Step 2: Convert to fraction form
    33,405.24/45,994.32 = 28,359/x
  3. Step 3: Cross multiply
    33,405.24x = 45,994.32 × 28,359
  4. Step 4: Simplify right side
    33,405.24x = 1,304,352,920.88
  5. Step 5: Solve for x
    x = 1,304,352,920.88/33,405.24
  6. Step 6: Final answer
    x = 39,046.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.