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Finding the Fourth Proportional to 65,254.86, 97,861.23 and 18,495.18

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Solution

The fourth proportional to 65,254.86, 97,861.23 and 18,495.18 is: 27,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254.86 : 97,861.23 = 18,495.18 : x
  2. Step 2: Convert to fraction form
    65,254.86/97,861.23 = 18,495.18/x
  3. Step 3: Cross multiply
    65,254.86x = 97,861.23 × 18,495.18
  4. Step 4: Simplify right side
    65,254.86x = 1,809,961,063.87
  5. Step 5: Solve for x
    x = 1,809,961,063.87/65,254.86
  6. Step 6: Final answer
    x = 27,736.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.