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Finding the Fourth Proportional to 101,306.56, 151,955.52 and 31,182.88

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Solution

The fourth proportional to 101,306.56, 151,955.52 and 31,182.88 is: 46,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.56 : 151,955.52 = 31,182.88 : x
  2. Step 2: Convert to fraction form
    101,306.56/151,955.52 = 31,182.88/x
  3. Step 3: Cross multiply
    101,306.56x = 151,955.52 × 31,182.88
  4. Step 4: Simplify right side
    101,306.56x = 4,738,410,745.50
  5. Step 5: Solve for x
    x = 4,738,410,745.50/101,306.56
  6. Step 6: Final answer
    x = 46,772.99

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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.