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Finding the Fourth Proportional to 122,722.76, 184,062.54 and 32,766.59

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Solution

The fourth proportional to 122,722.76, 184,062.54 and 32,766.59 is: 49,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,722.76 : 184,062.54 = 32,766.59 : x
  2. Step 2: Convert to fraction form
    122,722.76/184,062.54 = 32,766.59/x
  3. Step 3: Cross multiply
    122,722.76x = 184,062.54 × 32,766.59
  4. Step 4: Simplify right side
    122,722.76x = 6,031,101,782.54
  5. Step 5: Solve for x
    x = 6,031,101,782.54/122,722.76
  6. Step 6: Final answer
    x = 49,144.12

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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.