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Finding the Fourth Proportional to 65,096.36, 89,834.67 and 36,415.07

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Solution

The fourth proportional to 65,096.36, 89,834.67 and 36,415.07 is: 50,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.36 : 89,834.67 = 36,415.07 : x
  2. Step 2: Convert to fraction form
    65,096.36/89,834.67 = 36,415.07/x
  3. Step 3: Cross multiply
    65,096.36x = 89,834.67 × 36,415.07
  4. Step 4: Simplify right side
    65,096.36x = 3,271,335,684.18
  5. Step 5: Solve for x
    x = 3,271,335,684.18/65,096.36
  6. Step 6: Final answer
    x = 50,253.74

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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.