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Finding the Fourth Proportional to 122,765.48, 184,147.48 and 31,580.74

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Solution

The fourth proportional to 122,765.48, 184,147.48 and 31,580.74 is: 47,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,765.48 : 184,147.48 = 31,580.74 : x
  2. Step 2: Convert to fraction form
    122,765.48/184,147.48 = 31,580.74/x
  3. Step 3: Cross multiply
    122,765.48x = 184,147.48 × 31,580.74
  4. Step 4: Simplify right side
    122,765.48x = 5,815,513,687.54
  5. Step 5: Solve for x
    x = 5,815,513,687.54/122,765.48
  6. Step 6: Final answer
    x = 47,370.92

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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.