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Finding the Fourth Proportional to 54,614.79, 81,954.03 and 23,022.92

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Solution

The fourth proportional to 54,614.79, 81,954.03 and 23,022.92 is: 34,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,614.79 : 81,954.03 = 23,022.92 : x
  2. Step 2: Convert to fraction form
    54,614.79/81,954.03 = 23,022.92/x
  3. Step 3: Cross multiply
    54,614.79x = 81,954.03 × 23,022.92
  4. Step 4: Simplify right side
    54,614.79x = 1,886,820,777.09
  5. Step 5: Solve for x
    x = 1,886,820,777.09/54,614.79
  6. Step 6: Final answer
    x = 34,547.80

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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.