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Finding the Fourth Proportional to 50,562.90, 69,776.34 and 27,902.10

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Solution

The fourth proportional to 50,562.90, 69,776.34 and 27,902.10 is: 38,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,562.90 : 69,776.34 = 27,902.10 : x
  2. Step 2: Convert to fraction form
    50,562.90/69,776.34 = 27,902.10/x
  3. Step 3: Cross multiply
    50,562.90x = 69,776.34 × 27,902.10
  4. Step 4: Simplify right side
    50,562.90x = 1,946,906,416.31
  5. Step 5: Solve for x
    x = 1,946,906,416.31/50,562.90
  6. Step 6: Final answer
    x = 38,504.64

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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.