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Finding the Fourth Proportional to 33,583.55, 50,373.50 and 10,208.16

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Solution

The fourth proportional to 33,583.55, 50,373.50 and 10,208.16 is: 15,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.55 : 50,373.50 = 10,208.16 : x
  2. Step 2: Convert to fraction form
    33,583.55/50,373.50 = 10,208.16/x
  3. Step 3: Cross multiply
    33,583.55x = 50,373.50 × 10,208.16
  4. Step 4: Simplify right side
    33,583.55x = 514,220,747.76
  5. Step 5: Solve for x
    x = 514,220,747.76/33,583.55
  6. Step 6: Final answer
    x = 15,311.69

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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.