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Finding the Fourth Proportional to 101,049.97, 151,533.24 and 34,495.46

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Solution

The fourth proportional to 101,049.97, 151,533.24 and 34,495.46 is: 51,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,049.97 : 151,533.24 = 34,495.46 : x
  2. Step 2: Convert to fraction form
    101,049.97/151,533.24 = 34,495.46/x
  3. Step 3: Cross multiply
    101,049.97x = 151,533.24 × 34,495.46
  4. Step 4: Simplify right side
    101,049.97x = 5,227,208,819.09
  5. Step 5: Solve for x
    x = 5,227,208,819.09/101,049.97
  6. Step 6: Final answer
    x = 51,728.95

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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.