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Finding the Fourth Proportional to 82,589, 123,888.18 and 23,420

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Solution

The fourth proportional to 82,589, 123,888.18 and 23,420 is: 35,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,589 : 123,888.18 = 23,420 : x
  2. Step 2: Convert to fraction form
    82,589/123,888.18 = 23,420/x
  3. Step 3: Cross multiply
    82,589x = 123,888.18 × 23,420
  4. Step 4: Simplify right side
    82,589x = 2,901,461,175.60
  5. Step 5: Solve for x
    x = 2,901,461,175.60/82,589
  6. Step 6: Final answer
    x = 35,131.33

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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.