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Finding the Fourth Proportional to 39,851.29, 54,994.79 and 21,946.24

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Solution

The fourth proportional to 39,851.29, 54,994.79 and 21,946.24 is: 30,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,851.29 : 54,994.79 = 21,946.24 : x
  2. Step 2: Convert to fraction form
    39,851.29/54,994.79 = 21,946.24/x
  3. Step 3: Cross multiply
    39,851.29x = 54,994.79 × 21,946.24
  4. Step 4: Simplify right side
    39,851.29x = 1,206,928,475.38
  5. Step 5: Solve for x
    x = 1,206,928,475.38/39,851.29
  6. Step 6: Final answer
    x = 30,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.