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Finding the Fourth Proportional to 85,349.36, 127,776.12 and 49,702

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Solution

The fourth proportional to 85,349.36, 127,776.12 and 49,702 is: 74,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,349.36 : 127,776.12 = 49,702 : x
  2. Step 2: Convert to fraction form
    85,349.36/127,776.12 = 49,702/x
  3. Step 3: Cross multiply
    85,349.36x = 127,776.12 × 49,702
  4. Step 4: Simplify right side
    85,349.36x = 6,350,728,716.24
  5. Step 5: Solve for x
    x = 6,350,728,716.24/85,349.36
  6. Step 6: Final answer
    x = 74,408.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.