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Finding the Fourth Proportional to 100,022.50, 150,035.19 and 26,150.50

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Solution

The fourth proportional to 100,022.50, 150,035.19 and 26,150.50 is: 39,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022.50 : 150,035.19 = 26,150.50 : x
  2. Step 2: Convert to fraction form
    100,022.50/150,035.19 = 26,150.50/x
  3. Step 3: Cross multiply
    100,022.50x = 150,035.19 × 26,150.50
  4. Step 4: Simplify right side
    100,022.50x = 3,923,495,236.10
  5. Step 5: Solve for x
    x = 3,923,495,236.10/100,022.50
  6. Step 6: Final answer
    x = 39,226.13

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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.