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Finding the Fourth Proportional to 33,632.40, 50,446.77 and 10,257

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Solution

The fourth proportional to 33,632.40, 50,446.77 and 10,257 is: 15,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632.40 : 50,446.77 = 10,257 : x
  2. Step 2: Convert to fraction form
    33,632.40/50,446.77 = 10,257/x
  3. Step 3: Cross multiply
    33,632.40x = 50,446.77 × 10,257
  4. Step 4: Simplify right side
    33,632.40x = 517,432,519.89
  5. Step 5: Solve for x
    x = 517,432,519.89/33,632.40
  6. Step 6: Final answer
    x = 15,384.94

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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.