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Finding the Fourth Proportional to 50,674.41, 69,939.38 and 29,466

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Solution

The fourth proportional to 50,674.41, 69,939.38 and 29,466 is: 40,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674.41 : 69,939.38 = 29,466 : x
  2. Step 2: Convert to fraction form
    50,674.41/69,939.38 = 29,466/x
  3. Step 3: Cross multiply
    50,674.41x = 69,939.38 × 29,466
  4. Step 4: Simplify right side
    50,674.41x = 2,060,833,844.75
  5. Step 5: Solve for x
    x = 2,060,833,844.75/50,674.41
  6. Step 6: Final answer
    x = 40,668.14

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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.