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Finding the Fourth Proportional to 33,476.20, 50,213.01 and 10,102

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Solution

The fourth proportional to 33,476.20, 50,213.01 and 10,102 is: 15,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,476.20 : 50,213.01 = 10,102 : x
  2. Step 2: Convert to fraction form
    33,476.20/50,213.01 = 10,102/x
  3. Step 3: Cross multiply
    33,476.20x = 50,213.01 × 10,102
  4. Step 4: Simplify right side
    33,476.20x = 507,251,827.02
  5. Step 5: Solve for x
    x = 507,251,827.02/33,476.20
  6. Step 6: Final answer
    x = 15,152.61

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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.