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Finding the Fourth Proportional to 122,733, 184,101.74 and 38,491.28

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Solution

The fourth proportional to 122,733, 184,101.74 and 38,491.28 is: 57,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,733 : 184,101.74 = 38,491.28 : x
  2. Step 2: Convert to fraction form
    122,733/184,101.74 = 38,491.28/x
  3. Step 3: Cross multiply
    122,733x = 184,101.74 × 38,491.28
  4. Step 4: Simplify right side
    122,733x = 7,086,311,622.83
  5. Step 5: Solve for x
    x = 7,086,311,622.83/122,733
  6. Step 6: Final answer
    x = 57,737.62

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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.