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Finding the Fourth Proportional to 33,182.67, 49,519.19 and 29,635.64

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Solution

The fourth proportional to 33,182.67, 49,519.19 and 29,635.64 is: 44,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.67 : 49,519.19 = 29,635.64 : x
  2. Step 2: Convert to fraction form
    33,182.67/49,519.19 = 29,635.64/x
  3. Step 3: Cross multiply
    33,182.67x = 49,519.19 × 29,635.64
  4. Step 4: Simplify right side
    33,182.67x = 1,467,532,492.16
  5. Step 5: Solve for x
    x = 1,467,532,492.16/33,182.67
  6. Step 6: Final answer
    x = 44,225.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.