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Finding the Fourth Proportional to 82,593.20, 123,894.50 and 23,424.19

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Solution

The fourth proportional to 82,593.20, 123,894.50 and 23,424.19 is: 35,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,593.20 : 123,894.50 = 23,424.19 : x
  2. Step 2: Convert to fraction form
    82,593.20/123,894.50 = 23,424.19/x
  3. Step 3: Cross multiply
    82,593.20x = 123,894.50 × 23,424.19
  4. Step 4: Simplify right side
    82,593.20x = 2,902,127,881.10
  5. Step 5: Solve for x
    x = 2,902,127,881.10/82,593.20
  6. Step 6: Final answer
    x = 35,137.61

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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.