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Finding the Fourth Proportional to 54,072, 81,107.64 and 14,633.16

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Solution

The fourth proportional to 54,072, 81,107.64 and 14,633.16 is: 21,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 81,107.64 = 14,633.16 : x
  2. Step 2: Convert to fraction form
    54,072/81,107.64 = 14,633.16/x
  3. Step 3: Cross multiply
    54,072x = 81,107.64 × 14,633.16
  4. Step 4: Simplify right side
    54,072x = 1,186,861,073.34
  5. Step 5: Solve for x
    x = 1,186,861,073.34/54,072
  6. Step 6: Final answer
    x = 21,949.64

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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.