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Finding the Fourth Proportional to 122,726.52, 184,062.24 and 47,820.96

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Solution

The fourth proportional to 122,726.52, 184,062.24 and 47,820.96 is: 71,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726.52 : 184,062.24 = 47,820.96 : x
  2. Step 2: Convert to fraction form
    122,726.52/184,062.24 = 47,820.96/x
  3. Step 3: Cross multiply
    122,726.52x = 184,062.24 × 47,820.96
  4. Step 4: Simplify right side
    122,726.52x = 8,802,033,016.55
  5. Step 5: Solve for x
    x = 8,802,033,016.55/122,726.52
  6. Step 6: Final answer
    x = 71,720.71

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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.