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Finding the Fourth Proportional to 100,350.50, 150,535.84 and 26,478.50

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Solution

The fourth proportional to 100,350.50, 150,535.84 and 26,478.50 is: 39,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,350.50 : 150,535.84 = 26,478.50 : x
  2. Step 2: Convert to fraction form
    100,350.50/150,535.84 = 26,478.50/x
  3. Step 3: Cross multiply
    100,350.50x = 150,535.84 × 26,478.50
  4. Step 4: Simplify right side
    100,350.50x = 3,985,963,239.44
  5. Step 5: Solve for x
    x = 3,985,963,239.44/100,350.50
  6. Step 6: Final answer
    x = 39,720.41

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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.