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Finding the Fourth Proportional to 54,437.50, 81,661.41 and 21,160.12

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Solution

The fourth proportional to 54,437.50, 81,661.41 and 21,160.12 is: 31,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,437.50 : 81,661.41 = 21,160.12 : x
  2. Step 2: Convert to fraction form
    54,437.50/81,661.41 = 21,160.12/x
  3. Step 3: Cross multiply
    54,437.50x = 81,661.41 × 21,160.12
  4. Step 4: Simplify right side
    54,437.50x = 1,727,965,234.97
  5. Step 5: Solve for x
    x = 1,727,965,234.97/54,437.50
  6. Step 6: Final answer
    x = 31,742.19

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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.