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Finding the Fourth Proportional to 50,471.60, 69,650.47 and 27,810.08

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Solution

The fourth proportional to 50,471.60, 69,650.47 and 27,810.08 is: 38,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.60 : 69,650.47 = 27,810.08 : x
  2. Step 2: Convert to fraction form
    50,471.60/69,650.47 = 27,810.08/x
  3. Step 3: Cross multiply
    50,471.60x = 69,650.47 × 27,810.08
  4. Step 4: Simplify right side
    50,471.60x = 1,936,984,724.96
  5. Step 5: Solve for x
    x = 1,936,984,724.96/50,471.60
  6. Step 6: Final answer
    x = 38,377.72

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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.