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Finding the Fourth Proportional to 101,306.52, 151,976.52 and 31,186.08

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Solution

The fourth proportional to 101,306.52, 151,976.52 and 31,186.08 is: 46,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.52 : 151,976.52 = 31,186.08 : x
  2. Step 2: Convert to fraction form
    101,306.52/151,976.52 = 31,186.08/x
  3. Step 3: Cross multiply
    101,306.52x = 151,976.52 × 31,186.08
  4. Step 4: Simplify right side
    101,306.52x = 4,739,551,910.84
  5. Step 5: Solve for x
    x = 4,739,551,910.84/101,306.52
  6. Step 6: Final answer
    x = 46,784.27

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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.