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Finding the Fourth Proportional to 47,785.38, 65,846.63 and 36,964.55

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Solution

The fourth proportional to 47,785.38, 65,846.63 and 36,964.55 is: 50,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785.38 : 65,846.63 = 36,964.55 : x
  2. Step 2: Convert to fraction form
    47,785.38/65,846.63 = 36,964.55/x
  3. Step 3: Cross multiply
    47,785.38x = 65,846.63 × 36,964.55
  4. Step 4: Simplify right side
    47,785.38x = 2,433,990,810.14
  5. Step 5: Solve for x
    x = 2,433,990,810.14/47,785.38
  6. Step 6: Final answer
    x = 50,935.89

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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.