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Finding the Fourth Proportional to 82,729.98, 114,207.03 and 50,926.14

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Solution

The fourth proportional to 82,729.98, 114,207.03 and 50,926.14 is: 70,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,729.98 : 114,207.03 = 50,926.14 : x
  2. Step 2: Convert to fraction form
    82,729.98/114,207.03 = 50,926.14/x
  3. Step 3: Cross multiply
    82,729.98x = 114,207.03 × 50,926.14
  4. Step 4: Simplify right side
    82,729.98x = 5,816,123,198.76
  5. Step 5: Solve for x
    x = 5,816,123,198.76/82,729.98
  6. Step 6: Final answer
    x = 70,302.49

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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.