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Finding the Fourth Proportional to 100,578.92, 150,887.84 and 34,029.90

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Solution

The fourth proportional to 100,578.92, 150,887.84 and 34,029.90 is: 51,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.92 : 150,887.84 = 34,029.90 : x
  2. Step 2: Convert to fraction form
    100,578.92/150,887.84 = 34,029.90/x
  3. Step 3: Cross multiply
    100,578.92x = 150,887.84 × 34,029.90
  4. Step 4: Simplify right side
    100,578.92x = 5,134,698,106.42
  5. Step 5: Solve for x
    x = 5,134,698,106.42/100,578.92
  6. Step 6: Final answer
    x = 51,051.43

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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.