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Finding the Fourth Proportional to 50,226.91, 69,312.92 and 27,566.26

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Solution

The fourth proportional to 50,226.91, 69,312.92 and 27,566.26 is: 38,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226.91 : 69,312.92 = 27,566.26 : x
  2. Step 2: Convert to fraction form
    50,226.91/69,312.92 = 27,566.26/x
  3. Step 3: Cross multiply
    50,226.91x = 69,312.92 × 27,566.26
  4. Step 4: Simplify right side
    50,226.91x = 1,910,697,662.97
  5. Step 5: Solve for x
    x = 1,910,697,662.97/50,226.91
  6. Step 6: Final answer
    x = 38,041.32

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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.