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Finding the Fourth Proportional to 101,165.34, 151,747.91 and 30,087.69

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Solution

The fourth proportional to 101,165.34, 151,747.91 and 30,087.69 is: 45,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,165.34 : 151,747.91 = 30,087.69 : x
  2. Step 2: Convert to fraction form
    101,165.34/151,747.91 = 30,087.69/x
  3. Step 3: Cross multiply
    101,165.34x = 151,747.91 × 30,087.69
  4. Step 4: Simplify right side
    101,165.34x = 4,565,743,923.79
  5. Step 5: Solve for x
    x = 4,565,743,923.79/101,165.34
  6. Step 6: Final answer
    x = 45,131.50

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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.