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Finding the Fourth Proportional to 65,109.42, 89,855.45 and 36,431.80

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Solution

The fourth proportional to 65,109.42, 89,855.45 and 36,431.80 is: 50,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.42 : 89,855.45 = 36,431.80 : x
  2. Step 2: Convert to fraction form
    65,109.42/89,855.45 = 36,431.80/x
  3. Step 3: Cross multiply
    65,109.42x = 89,855.45 × 36,431.80
  4. Step 4: Simplify right side
    65,109.42x = 3,273,595,151.87
  5. Step 5: Solve for x
    x = 3,273,595,151.87/65,109.42
  6. Step 6: Final answer
    x = 50,278.37

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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.