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Finding the Fourth Proportional to 65,138, 89,890.46 and 36,843.08

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Solution

The fourth proportional to 65,138, 89,890.46 and 36,843.08 is: 50,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138 : 89,890.46 = 36,843.08 : x
  2. Step 2: Convert to fraction form
    65,138/89,890.46 = 36,843.08/x
  3. Step 3: Cross multiply
    65,138x = 89,890.46 × 36,843.08
  4. Step 4: Simplify right side
    65,138x = 3,311,841,409.02
  5. Step 5: Solve for x
    x = 3,311,841,409.02/65,138
  6. Step 6: Final answer
    x = 50,843.46

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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.