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Finding the Fourth Proportional to 65,172.86, 89,938.23 and 35,364.86

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Solution

The fourth proportional to 65,172.86, 89,938.23 and 35,364.86 is: 48,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.86 : 89,938.23 = 35,364.86 : x
  2. Step 2: Convert to fraction form
    65,172.86/89,938.23 = 35,364.86/x
  3. Step 3: Cross multiply
    65,172.86x = 89,938.23 × 35,364.86
  4. Step 4: Simplify right side
    65,172.86x = 3,180,652,912.60
  5. Step 5: Solve for x
    x = 3,180,652,912.60/65,172.86
  6. Step 6: Final answer
    x = 48,803.33

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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.