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Finding the Fourth Proportional to 49,836.40, 74,754.60 and 34,206.64

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Solution

The fourth proportional to 49,836.40, 74,754.60 and 34,206.64 is: 51,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,836.40 : 74,754.60 = 34,206.64 : x
  2. Step 2: Convert to fraction form
    49,836.40/74,754.60 = 34,206.64/x
  3. Step 3: Cross multiply
    49,836.40x = 74,754.60 × 34,206.64
  4. Step 4: Simplify right side
    49,836.40x = 2,557,103,690.54
  5. Step 5: Solve for x
    x = 2,557,103,690.54/49,836.40
  6. Step 6: Final answer
    x = 51,309.96

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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.