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Finding the Fourth Proportional to 65,255.86, 97,862.73 and 18,496.18

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Solution

The fourth proportional to 65,255.86, 97,862.73 and 18,496.18 is: 27,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.86 : 97,862.73 = 18,496.18 : x
  2. Step 2: Convert to fraction form
    65,255.86/97,862.73 = 18,496.18/x
  3. Step 3: Cross multiply
    65,255.86x = 97,862.73 × 18,496.18
  4. Step 4: Simplify right side
    65,255.86x = 1,810,086,669.37
  5. Step 5: Solve for x
    x = 1,810,086,669.37/65,255.86
  6. Step 6: Final answer
    x = 27,738.30

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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.