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Finding the Fourth Proportional to 33,274.68, 49,919.18 and 9,582.06

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Solution

The fourth proportional to 33,274.68, 49,919.18 and 9,582.06 is: 14,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.68 : 49,919.18 = 9,582.06 : x
  2. Step 2: Convert to fraction form
    33,274.68/49,919.18 = 9,582.06/x
  3. Step 3: Cross multiply
    33,274.68x = 49,919.18 × 9,582.06
  4. Step 4: Simplify right side
    33,274.68x = 478,328,577.91
  5. Step 5: Solve for x
    x = 478,328,577.91/33,274.68
  6. Step 6: Final answer
    x = 14,375.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.