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Finding the Fourth Proportional to 33,800.16, 50,703.71 and 12,757.92

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Solution

The fourth proportional to 33,800.16, 50,703.71 and 12,757.92 is: 19,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800.16 : 50,703.71 = 12,757.92 : x
  2. Step 2: Convert to fraction form
    33,800.16/50,703.71 = 12,757.92/x
  3. Step 3: Cross multiply
    33,800.16x = 50,703.71 × 12,757.92
  4. Step 4: Simplify right side
    33,800.16x = 646,873,875.88
  5. Step 5: Solve for x
    x = 646,873,875.88/33,800.16
  6. Step 6: Final answer
    x = 19,138.19

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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.