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Finding the Fourth Proportional to 75,849.38, 104,672.06 and 41,857.86

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Solution

The fourth proportional to 75,849.38, 104,672.06 and 41,857.86 is: 57,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849.38 : 104,672.06 = 41,857.86 : x
  2. Step 2: Convert to fraction form
    75,849.38/104,672.06 = 41,857.86/x
  3. Step 3: Cross multiply
    75,849.38x = 104,672.06 × 41,857.86
  4. Step 4: Simplify right side
    75,849.38x = 4,381,348,224.10
  5. Step 5: Solve for x
    x = 4,381,348,224.10/75,849.38
  6. Step 6: Final answer
    x = 57,763.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.