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Finding the Fourth Proportional to 86,083, 129,129.38 and 30,679

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Solution

The fourth proportional to 86,083, 129,129.38 and 30,679 is: 46,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,083 : 129,129.38 = 30,679 : x
  2. Step 2: Convert to fraction form
    86,083/129,129.38 = 30,679/x
  3. Step 3: Cross multiply
    86,083x = 129,129.38 × 30,679
  4. Step 4: Simplify right side
    86,083x = 3,961,560,249.02
  5. Step 5: Solve for x
    x = 3,961,560,249.02/86,083
  6. Step 6: Final answer
    x = 46,020.24

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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.