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Finding the Fourth Proportional to 101,009, 151,535.37 and 38,679.50

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Solution

The fourth proportional to 101,009, 151,535.37 and 38,679.50 is: 58,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,009 : 151,535.37 = 38,679.50 : x
  2. Step 2: Convert to fraction form
    101,009/151,535.37 = 38,679.50/x
  3. Step 3: Cross multiply
    101,009x = 151,535.37 × 38,679.50
  4. Step 4: Simplify right side
    101,009x = 5,861,312,343.92
  5. Step 5: Solve for x
    x = 5,861,312,343.92/101,009
  6. Step 6: Final answer
    x = 58,027.62

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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.