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Finding the Fourth Proportional to 65,105.67, 89,855.40 and 41,234.57

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Solution

The fourth proportional to 65,105.67, 89,855.40 and 41,234.57 is: 56,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.67 : 89,855.40 = 41,234.57 : x
  2. Step 2: Convert to fraction form
    65,105.67/89,855.40 = 41,234.57/x
  3. Step 3: Cross multiply
    65,105.67x = 89,855.40 × 41,234.57
  4. Step 4: Simplify right side
    65,105.67x = 3,705,148,781.18
  5. Step 5: Solve for x
    x = 3,705,148,781.18/65,105.67
  6. Step 6: Final answer
    x = 56,909.77

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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.