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Finding the Fourth Proportional to 50,096.34, 69,130.87 and 27,434.77

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Solution

The fourth proportional to 50,096.34, 69,130.87 and 27,434.77 is: 37,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,096.34 : 69,130.87 = 27,434.77 : x
  2. Step 2: Convert to fraction form
    50,096.34/69,130.87 = 27,434.77/x
  3. Step 3: Cross multiply
    50,096.34x = 69,130.87 × 27,434.77
  4. Step 4: Simplify right side
    50,096.34x = 1,896,589,276.94
  5. Step 5: Solve for x
    x = 1,896,589,276.94/50,096.34
  6. Step 6: Final answer
    x = 37,858.84

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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.