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Finding the Fourth Proportional to 122,057.76, 183,057.12 and 33,311.72

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Solution

The fourth proportional to 122,057.76, 183,057.12 and 33,311.72 is: 49,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,057.76 : 183,057.12 = 33,311.72 : x
  2. Step 2: Convert to fraction form
    122,057.76/183,057.12 = 33,311.72/x
  3. Step 3: Cross multiply
    122,057.76x = 183,057.12 × 33,311.72
  4. Step 4: Simplify right side
    122,057.76x = 6,097,947,525.45
  5. Step 5: Solve for x
    x = 6,097,947,525.45/122,057.76
  6. Step 6: Final answer
    x = 49,959.52

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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.