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Finding the Fourth Proportional to 73,830.38, 101,885.00 and 41,999.20

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Solution

The fourth proportional to 73,830.38, 101,885.00 and 41,999.20 is: 57,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830.38 : 101,885.00 = 41,999.20 : x
  2. Step 2: Convert to fraction form
    73,830.38/101,885.00 = 41,999.20/x
  3. Step 3: Cross multiply
    73,830.38x = 101,885.00 × 41,999.20
  4. Step 4: Simplify right side
    73,830.38x = 4,279,088,027.29
  5. Step 5: Solve for x
    x = 4,279,088,027.29/73,830.38
  6. Step 6: Final answer
    x = 57,958.37

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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.