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Finding the Fourth Proportional to 101,177.37, 151,760.39 and 31,056.48

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Solution

The fourth proportional to 101,177.37, 151,760.39 and 31,056.48 is: 46,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,177.37 : 151,760.39 = 31,056.48 : x
  2. Step 2: Convert to fraction form
    101,177.37/151,760.39 = 31,056.48/x
  3. Step 3: Cross multiply
    101,177.37x = 151,760.39 × 31,056.48
  4. Step 4: Simplify right side
    101,177.37x = 4,713,143,361.54
  5. Step 5: Solve for x
    x = 4,713,143,361.54/101,177.37
  6. Step 6: Final answer
    x = 46,582.98

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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.