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Finding the Fourth Proportional to 49,202.10, 73,814.04 and 14,139

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Solution

The fourth proportional to 49,202.10, 73,814.04 and 14,139 is: 21,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.10 : 73,814.04 = 14,139 : x
  2. Step 2: Convert to fraction form
    49,202.10/73,814.04 = 14,139/x
  3. Step 3: Cross multiply
    49,202.10x = 73,814.04 × 14,139
  4. Step 4: Simplify right side
    49,202.10x = 1,043,656,711.56
  5. Step 5: Solve for x
    x = 1,043,656,711.56/49,202.10
  6. Step 6: Final answer
    x = 21,211.63

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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.