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Finding the Fourth Proportional to 54,345.90, 81,431.37 and 33,525.66

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Solution

The fourth proportional to 54,345.90, 81,431.37 and 33,525.66 is: 50,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.90 : 81,431.37 = 33,525.66 : x
  2. Step 2: Convert to fraction form
    54,345.90/81,431.37 = 33,525.66/x
  3. Step 3: Cross multiply
    54,345.90x = 81,431.37 × 33,525.66
  4. Step 4: Simplify right side
    54,345.90x = 2,730,040,423.95
  5. Step 5: Solve for x
    x = 2,730,040,423.95/54,345.90
  6. Step 6: Final answer
    x = 50,234.52

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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.