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Finding the Fourth Proportional to 122,684.52, 184,065.66 and 43,797

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Solution

The fourth proportional to 122,684.52, 184,065.66 and 43,797 is: 65,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,684.52 : 184,065.66 = 43,797 : x
  2. Step 2: Convert to fraction form
    122,684.52/184,065.66 = 43,797/x
  3. Step 3: Cross multiply
    122,684.52x = 184,065.66 × 43,797
  4. Step 4: Simplify right side
    122,684.52x = 8,061,523,711.02
  5. Step 5: Solve for x
    x = 8,061,523,711.02/122,684.52
  6. Step 6: Final answer
    x = 65,709.38

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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.