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Finding the Fourth Proportional to 101,096.41, 151,631.43 and 30,017.62

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Solution

The fourth proportional to 101,096.41, 151,631.43 and 30,017.62 is: 45,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,096.41 : 151,631.43 = 30,017.62 : x
  2. Step 2: Convert to fraction form
    101,096.41/151,631.43 = 30,017.62/x
  3. Step 3: Cross multiply
    101,096.41x = 151,631.43 × 30,017.62
  4. Step 4: Simplify right side
    101,096.41x = 4,551,614,645.80
  5. Step 5: Solve for x
    x = 4,551,614,645.80/101,096.41
  6. Step 6: Final answer
    x = 45,022.52

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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.