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Finding the Fourth Proportional to 122,764.32, 184,150.17 and 47,881.44

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Solution

The fourth proportional to 122,764.32, 184,150.17 and 47,881.44 is: 71,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,764.32 : 184,150.17 = 47,881.44 : x
  2. Step 2: Convert to fraction form
    122,764.32/184,150.17 = 47,881.44/x
  3. Step 3: Cross multiply
    122,764.32x = 184,150.17 × 47,881.44
  4. Step 4: Simplify right side
    122,764.32x = 8,817,375,315.84
  5. Step 5: Solve for x
    x = 8,817,375,315.84/122,764.32
  6. Step 6: Final answer
    x = 71,823.60

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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.