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Finding the Fourth Proportional to 65,086.93, 97,630.40 and 33,982.93

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Solution

The fourth proportional to 65,086.93, 97,630.40 and 33,982.93 is: 50,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.93 : 97,630.40 = 33,982.93 : x
  2. Step 2: Convert to fraction form
    65,086.93/97,630.40 = 33,982.93/x
  3. Step 3: Cross multiply
    65,086.93x = 97,630.40 × 33,982.93
  4. Step 4: Simplify right side
    65,086.93x = 3,317,767,049.07
  5. Step 5: Solve for x
    x = 3,317,767,049.07/65,086.93
  6. Step 6: Final answer
    x = 50,974.40

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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.