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Finding the Fourth Proportional to 50,827.28, 70,067.40 and 35,674.16

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Solution

The fourth proportional to 50,827.28, 70,067.40 and 35,674.16 is: 49,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827.28 : 70,067.40 = 35,674.16 : x
  2. Step 2: Convert to fraction form
    50,827.28/70,067.40 = 35,674.16/x
  3. Step 3: Cross multiply
    50,827.28x = 70,067.40 × 35,674.16
  4. Step 4: Simplify right side
    50,827.28x = 2,499,595,638.38
  5. Step 5: Solve for x
    x = 2,499,595,638.38/50,827.28
  6. Step 6: Final answer
    x = 49,178.23

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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.