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Finding the Fourth Proportional to 100,394, 150,560.28 and 33,816.28

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Solution

The fourth proportional to 100,394, 150,560.28 and 33,816.28 is: 50,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394 : 150,560.28 = 33,816.28 : x
  2. Step 2: Convert to fraction form
    100,394/150,560.28 = 33,816.28/x
  3. Step 3: Cross multiply
    100,394x = 150,560.28 × 33,816.28
  4. Step 4: Simplify right side
    100,394x = 5,091,388,585.36
  5. Step 5: Solve for x
    x = 5,091,388,585.36/100,394
  6. Step 6: Final answer
    x = 50,714.07

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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.