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Finding the Fourth Proportional to 100,148.45, 150,218.12 and 33,583.46

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Solution

The fourth proportional to 100,148.45, 150,218.12 and 33,583.46 is: 50,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,148.45 : 150,218.12 = 33,583.46 : x
  2. Step 2: Convert to fraction form
    100,148.45/150,218.12 = 33,583.46/x
  3. Step 3: Cross multiply
    100,148.45x = 150,218.12 × 33,583.46
  4. Step 4: Simplify right side
    100,148.45x = 5,044,843,680.83
  5. Step 5: Solve for x
    x = 5,044,843,680.83/100,148.45
  6. Step 6: Final answer
    x = 50,373.66

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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.