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Finding the Fourth Proportional to 65,077, 89,806.32 and 35,269

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Solution

The fourth proportional to 65,077, 89,806.32 and 35,269 is: 48,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077 : 89,806.32 = 35,269 : x
  2. Step 2: Convert to fraction form
    65,077/89,806.32 = 35,269/x
  3. Step 3: Cross multiply
    65,077x = 89,806.32 × 35,269
  4. Step 4: Simplify right side
    65,077x = 3,167,379,100.08
  5. Step 5: Solve for x
    x = 3,167,379,100.08/65,077
  6. Step 6: Final answer
    x = 48,671.25

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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.