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Finding the Fourth Proportional to 50,409.04, 69,564.72 and 27,750.30

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Solution

The fourth proportional to 50,409.04, 69,564.72 and 27,750.30 is: 38,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.04 : 69,564.72 = 27,750.30 : x
  2. Step 2: Convert to fraction form
    50,409.04/69,564.72 = 27,750.30/x
  3. Step 3: Cross multiply
    50,409.04x = 69,564.72 × 27,750.30
  4. Step 4: Simplify right side
    50,409.04x = 1,930,441,849.42
  5. Step 5: Solve for x
    x = 1,930,441,849.42/50,409.04
  6. Step 6: Final answer
    x = 38,295.55

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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.