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Finding the Fourth Proportional to 100,085.49, 150,133.71 and 33,519.60

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Solution

The fourth proportional to 100,085.49, 150,133.71 and 33,519.60 is: 50,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,085.49 : 150,133.71 = 33,519.60 : x
  2. Step 2: Convert to fraction form
    100,085.49/150,133.71 = 33,519.60/x
  3. Step 3: Cross multiply
    100,085.49x = 150,133.71 × 33,519.60
  4. Step 4: Simplify right side
    100,085.49x = 5,032,421,905.72
  5. Step 5: Solve for x
    x = 5,032,421,905.72/100,085.49
  6. Step 6: Final answer
    x = 50,281.23

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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.