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Finding the Fourth Proportional to 85,318, 117,724.26 and 49,499.80

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Solution

The fourth proportional to 85,318, 117,724.26 and 49,499.80 is: 68,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,318 : 117,724.26 = 49,499.80 : x
  2. Step 2: Convert to fraction form
    85,318/117,724.26 = 49,499.80/x
  3. Step 3: Cross multiply
    85,318x = 117,724.26 × 49,499.80
  4. Step 4: Simplify right side
    85,318x = 5,827,327,325.15
  5. Step 5: Solve for x
    x = 5,827,327,325.15/85,318
  6. Step 6: Final answer
    x = 68,301.26

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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.