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Finding the Fourth Proportional to 54,324, 81,493.29 and 23,166.54

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Solution

The fourth proportional to 54,324, 81,493.29 and 23,166.54 is: 34,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 81,493.29 = 23,166.54 : x
  2. Step 2: Convert to fraction form
    54,324/81,493.29 = 23,166.54/x
  3. Step 3: Cross multiply
    54,324x = 81,493.29 × 23,166.54
  4. Step 4: Simplify right side
    54,324x = 1,887,917,562.52
  5. Step 5: Solve for x
    x = 1,887,917,562.52/54,324
  6. Step 6: Final answer
    x = 34,752.92

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Why These Related Problems?

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