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Finding the Fourth Proportional to 57,884.38, 79,855.09 and 34,000.29

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Solution

The fourth proportional to 57,884.38, 79,855.09 and 34,000.29 is: 46,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.38 : 79,855.09 = 34,000.29 : x
  2. Step 2: Convert to fraction form
    57,884.38/79,855.09 = 34,000.29/x
  3. Step 3: Cross multiply
    57,884.38x = 79,855.09 × 34,000.29
  4. Step 4: Simplify right side
    57,884.38x = 2,715,096,228.60
  5. Step 5: Solve for x
    x = 2,715,096,228.60/57,884.38
  6. Step 6: Final answer
    x = 46,905.51

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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.