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Finding the Fourth Proportional to 74,189.01, 102,385.85 and 41,912.43

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Solution

The fourth proportional to 74,189.01, 102,385.85 and 41,912.43 is: 57,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189.01 : 102,385.85 = 41,912.43 : x
  2. Step 2: Convert to fraction form
    74,189.01/102,385.85 = 41,912.43/x
  3. Step 3: Cross multiply
    74,189.01x = 102,385.85 × 41,912.43
  4. Step 4: Simplify right side
    74,189.01x = 4,291,239,771.12
  5. Step 5: Solve for x
    x = 4,291,239,771.12/74,189.01
  6. Step 6: Final answer
    x = 57,841.99

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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.