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Finding the Fourth Proportional to 33,002.70, 49,503.21 and 9,629.34

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Solution

The fourth proportional to 33,002.70, 49,503.21 and 9,629.34 is: 14,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002.70 : 49,503.21 = 9,629.34 : x
  2. Step 2: Convert to fraction form
    33,002.70/49,503.21 = 9,629.34/x
  3. Step 3: Cross multiply
    33,002.70x = 49,503.21 × 9,629.34
  4. Step 4: Simplify right side
    33,002.70x = 476,683,240.18
  5. Step 5: Solve for x
    x = 476,683,240.18/33,002.70
  6. Step 6: Final answer
    x = 14,443.76

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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.