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Finding the Fourth Proportional to 50,102.34, 75,155.84 and 27,898.98

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Solution

The fourth proportional to 50,102.34, 75,155.84 and 27,898.98 is: 41,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.34 : 75,155.84 = 27,898.98 : x
  2. Step 2: Convert to fraction form
    50,102.34/75,155.84 = 27,898.98/x
  3. Step 3: Cross multiply
    50,102.34x = 75,155.84 × 27,898.98
  4. Step 4: Simplify right side
    50,102.34x = 2,096,770,901.26
  5. Step 5: Solve for x
    x = 2,096,770,901.26/50,102.34
  6. Step 6: Final answer
    x = 41,849.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.