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Finding the Fourth Proportional to 50,141.34, 69,195.95 and 27,478.83

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Solution

The fourth proportional to 50,141.34, 69,195.95 and 27,478.83 is: 37,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141.34 : 69,195.95 = 27,478.83 : x
  2. Step 2: Convert to fraction form
    50,141.34/69,195.95 = 27,478.83/x
  3. Step 3: Cross multiply
    50,141.34x = 69,195.95 × 27,478.83
  4. Step 4: Simplify right side
    50,141.34x = 1,901,423,609.34
  5. Step 5: Solve for x
    x = 1,901,423,609.34/50,141.34
  6. Step 6: Final answer
    x = 37,921.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.