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Finding the Fourth Proportional to 33,097.61, 45,674.98 and 17,990.27

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Solution

The fourth proportional to 33,097.61, 45,674.98 and 17,990.27 is: 24,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.61 : 45,674.98 = 17,990.27 : x
  2. Step 2: Convert to fraction form
    33,097.61/45,674.98 = 17,990.27/x
  3. Step 3: Cross multiply
    33,097.61x = 45,674.98 × 17,990.27
  4. Step 4: Simplify right side
    33,097.61x = 821,705,120.38
  5. Step 5: Solve for x
    x = 821,705,120.38/33,097.61
  6. Step 6: Final answer
    x = 24,826.72

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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.