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Finding the Fourth Proportional to 50,047.08, 69,041.16 and 30,919.98

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Solution

The fourth proportional to 50,047.08, 69,041.16 and 30,919.98 is: 42,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047.08 : 69,041.16 = 30,919.98 : x
  2. Step 2: Convert to fraction form
    50,047.08/69,041.16 = 30,919.98/x
  3. Step 3: Cross multiply
    50,047.08x = 69,041.16 × 30,919.98
  4. Step 4: Simplify right side
    50,047.08x = 2,134,751,286.38
  5. Step 5: Solve for x
    x = 2,134,751,286.38/50,047.08
  6. Step 6: Final answer
    x = 42,654.86

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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.