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Finding the Fourth Proportional to 101,134.70, 151,732.23 and 30,059.70

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Solution

The fourth proportional to 101,134.70, 151,732.23 and 30,059.70 is: 45,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,134.70 : 151,732.23 = 30,059.70 : x
  2. Step 2: Convert to fraction form
    101,134.70/151,732.23 = 30,059.70/x
  3. Step 3: Cross multiply
    101,134.70x = 151,732.23 × 30,059.70
  4. Step 4: Simplify right side
    101,134.70x = 4,561,025,314.13
  5. Step 5: Solve for x
    x = 4,561,025,314.13/101,134.70
  6. Step 6: Final answer
    x = 45,098.52

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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.