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Finding the Fourth Proportional to 50,632.80, 69,872.92 and 27,973.25

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Solution

The fourth proportional to 50,632.80, 69,872.92 and 27,973.25 is: 38,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632.80 : 69,872.92 = 27,973.25 : x
  2. Step 2: Convert to fraction form
    50,632.80/69,872.92 = 27,973.25/x
  3. Step 3: Cross multiply
    50,632.80x = 69,872.92 × 27,973.25
  4. Step 4: Simplify right side
    50,632.80x = 1,954,572,659.39
  5. Step 5: Solve for x
    x = 1,954,572,659.39/50,632.80
  6. Step 6: Final answer
    x = 38,602.89

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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.