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Finding the Fourth Proportional to 100,134.65, 150,225.69 and 32,666.33

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Solution

The fourth proportional to 100,134.65, 150,225.69 and 32,666.33 is: 49,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134.65 : 150,225.69 = 32,666.33 : x
  2. Step 2: Convert to fraction form
    100,134.65/150,225.69 = 32,666.33/x
  3. Step 3: Cross multiply
    100,134.65x = 150,225.69 × 32,666.33
  4. Step 4: Simplify right side
    100,134.65x = 4,907,321,964.02
  5. Step 5: Solve for x
    x = 4,907,321,964.02/100,134.65
  6. Step 6: Final answer
    x = 49,007.23

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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.