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Finding the Fourth Proportional to 100,612.25, 150,824.54 and 34,006.04

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Solution

The fourth proportional to 100,612.25, 150,824.54 and 34,006.04 is: 50,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.25 : 150,824.54 = 34,006.04 : x
  2. Step 2: Convert to fraction form
    100,612.25/150,824.54 = 34,006.04/x
  3. Step 3: Cross multiply
    100,612.25x = 150,824.54 × 34,006.04
  4. Step 4: Simplify right side
    100,612.25x = 5,128,944,416.07
  5. Step 5: Solve for x
    x = 5,128,944,416.07/100,612.25
  6. Step 6: Final answer
    x = 50,977.34

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1.5x scale

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.