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Finding the Fourth Proportional to 184,543.48, 276,640.26 and 59,797

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Solution

The fourth proportional to 184,543.48, 276,640.26 and 59,797 is: 89,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,543.48 : 276,640.26 = 59,797 : x
  2. Step 2: Convert to fraction form
    184,543.48/276,640.26 = 59,797/x
  3. Step 3: Cross multiply
    184,543.48x = 276,640.26 × 59,797
  4. Step 4: Simplify right side
    184,543.48x = 16,542,257,627.22
  5. Step 5: Solve for x
    x = 16,542,257,627.22/184,543.48
  6. Step 6: Final answer
    x = 89,638.81

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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.