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Finding the Fourth Proportional to 76,476.38, 114,651.39 and 33,751.38

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Solution

The fourth proportional to 76,476.38, 114,651.39 and 33,751.38 is: 50,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.38 : 114,651.39 = 33,751.38 : x
  2. Step 2: Convert to fraction form
    76,476.38/114,651.39 = 33,751.38/x
  3. Step 3: Cross multiply
    76,476.38x = 114,651.39 × 33,751.38
  4. Step 4: Simplify right side
    76,476.38x = 3,869,642,631.42
  5. Step 5: Solve for x
    x = 3,869,642,631.42/76,476.38
  6. Step 6: Final answer
    x = 50,599.19

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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.