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Finding the Fourth Proportional to 101,021.50, 151,532.52 and 30,906.28

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Solution

The fourth proportional to 101,021.50, 151,532.52 and 30,906.28 is: 46,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,021.50 : 151,532.52 = 30,906.28 : x
  2. Step 2: Convert to fraction form
    101,021.50/151,532.52 = 30,906.28/x
  3. Step 3: Cross multiply
    101,021.50x = 151,532.52 × 30,906.28
  4. Step 4: Simplify right side
    101,021.50x = 4,683,306,492.23
  5. Step 5: Solve for x
    x = 4,683,306,492.23/101,021.50
  6. Step 6: Final answer
    x = 46,359.50

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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.