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Finding the Fourth Proportional to 82,153.50, 123,230.28 and 19,824

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Solution

The fourth proportional to 82,153.50, 123,230.28 and 19,824 is: 29,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,153.50 : 123,230.28 = 19,824 : x
  2. Step 2: Convert to fraction form
    82,153.50/123,230.28 = 19,824/x
  3. Step 3: Cross multiply
    82,153.50x = 123,230.28 × 19,824
  4. Step 4: Simplify right side
    82,153.50x = 2,442,917,070.72
  5. Step 5: Solve for x
    x = 2,442,917,070.72/82,153.50
  6. Step 6: Final answer
    x = 29,736.01

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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.