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Finding the Fourth Proportional to 50,340.85, 69,470.63 and 27,681.30

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Solution

The fourth proportional to 50,340.85, 69,470.63 and 27,681.30 is: 38,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340.85 : 69,470.63 = 27,681.30 : x
  2. Step 2: Convert to fraction form
    50,340.85/69,470.63 = 27,681.30/x
  3. Step 3: Cross multiply
    50,340.85x = 69,470.63 × 27,681.30
  4. Step 4: Simplify right side
    50,340.85x = 1,923,037,350.22
  5. Step 5: Solve for x
    x = 1,923,037,350.22/50,340.85
  6. Step 6: Final answer
    x = 38,200.34

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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.