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Finding the Fourth Proportional to 96,583.96, 133,286.34 and 54,142.84

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Solution

The fourth proportional to 96,583.96, 133,286.34 and 54,142.84 is: 74,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,583.96 : 133,286.34 = 54,142.84 : x
  2. Step 2: Convert to fraction form
    96,583.96/133,286.34 = 54,142.84/x
  3. Step 3: Cross multiply
    96,583.96x = 133,286.34 × 54,142.84
  4. Step 4: Simplify right side
    96,583.96x = 7,216,500,980.81
  5. Step 5: Solve for x
    x = 7,216,500,980.81/96,583.96
  6. Step 6: Final answer
    x = 74,717.39

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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.