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Finding the Fourth Proportional to 73,972.98, 102,082.74 and 39,981.39

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Solution

The fourth proportional to 73,972.98, 102,082.74 and 39,981.39 is: 55,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,972.98 : 102,082.74 = 39,981.39 : x
  2. Step 2: Convert to fraction form
    73,972.98/102,082.74 = 39,981.39/x
  3. Step 3: Cross multiply
    73,972.98x = 102,082.74 × 39,981.39
  4. Step 4: Simplify right side
    73,972.98x = 4,081,409,840.21
  5. Step 5: Solve for x
    x = 4,081,409,840.21/73,972.98
  6. Step 6: Final answer
    x = 55,174.33

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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.