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Finding the Fourth Proportional to 57,633.84, 79,375.74 and 49,673.16

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Solution

The fourth proportional to 57,633.84, 79,375.74 and 49,673.16 is: 68,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,633.84 : 79,375.74 = 49,673.16 : x
  2. Step 2: Convert to fraction form
    57,633.84/79,375.74 = 49,673.16/x
  3. Step 3: Cross multiply
    57,633.84x = 79,375.74 × 49,673.16
  4. Step 4: Simplify right side
    57,633.84x = 3,942,843,833.14
  5. Step 5: Solve for x
    x = 3,942,843,833.14/57,633.84
  6. Step 6: Final answer
    x = 68,411.96

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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.