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Finding the Fourth Proportional to 50,618.64, 69,854.24 and 27,958.21

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Solution

The fourth proportional to 50,618.64, 69,854.24 and 27,958.21 is: 38,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618.64 : 69,854.24 = 27,958.21 : x
  2. Step 2: Convert to fraction form
    50,618.64/69,854.24 = 27,958.21/x
  3. Step 3: Cross multiply
    50,618.64x = 69,854.24 × 27,958.21
  4. Step 4: Simplify right side
    50,618.64x = 1,952,999,406.57
  5. Step 5: Solve for x
    x = 1,952,999,406.57/50,618.64
  6. Step 6: Final answer
    x = 38,582.61

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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.