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Finding the Fourth Proportional to 33,134, 49,699.37 and 12,355.88

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Solution

The fourth proportional to 33,134, 49,699.37 and 12,355.88 is: 18,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,134 : 49,699.37 = 12,355.88 : x
  2. Step 2: Convert to fraction form
    33,134/49,699.37 = 12,355.88/x
  3. Step 3: Cross multiply
    33,134x = 49,699.37 × 12,355.88
  4. Step 4: Simplify right side
    33,134x = 614,079,451.80
  5. Step 5: Solve for x
    x = 614,079,451.80/33,134
  6. Step 6: Final answer
    x = 18,533.21

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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.