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Finding the Fourth Proportional to 35,974.80, 49,623.84 and 28,004.40

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Solution

The fourth proportional to 35,974.80, 49,623.84 and 28,004.40 is: 38,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974.80 : 49,623.84 = 28,004.40 : x
  2. Step 2: Convert to fraction form
    35,974.80/49,623.84 = 28,004.40/x
  3. Step 3: Cross multiply
    35,974.80x = 49,623.84 × 28,004.40
  4. Step 4: Simplify right side
    35,974.80x = 1,389,685,864.90
  5. Step 5: Solve for x
    x = 1,389,685,864.90/35,974.80
  6. Step 6: Final answer
    x = 38,629.43

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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.