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Finding the Fourth Proportional to 50,426.28, 69,587.68 and 27,764.80

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Solution

The fourth proportional to 50,426.28, 69,587.68 and 27,764.80 is: 38,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,426.28 : 69,587.68 = 27,764.80 : x
  2. Step 2: Convert to fraction form
    50,426.28/69,587.68 = 27,764.80/x
  3. Step 3: Cross multiply
    50,426.28x = 69,587.68 × 27,764.80
  4. Step 4: Simplify right side
    50,426.28x = 1,932,088,017.66
  5. Step 5: Solve for x
    x = 1,932,088,017.66/50,426.28
  6. Step 6: Final answer
    x = 38,315.10

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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.