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Finding the Fourth Proportional to 122,720.76, 184,059.54 and 32,764.59

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Solution

The fourth proportional to 122,720.76, 184,059.54 and 32,764.59 is: 49,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,720.76 : 184,059.54 = 32,764.59 : x
  2. Step 2: Convert to fraction form
    122,720.76/184,059.54 = 32,764.59/x
  3. Step 3: Cross multiply
    122,720.76x = 184,059.54 × 32,764.59
  4. Step 4: Simplify right side
    122,720.76x = 6,030,635,363.69
  5. Step 5: Solve for x
    x = 6,030,635,363.69/122,720.76
  6. Step 6: Final answer
    x = 49,141.12

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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.