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Finding the Fourth Proportional to 33,507, 50,260 and 11,335.96

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Solution

The fourth proportional to 33,507, 50,260 and 11,335.96 is: 17,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507 : 50,260 = 11,335.96 : x
  2. Step 2: Convert to fraction form
    33,507/50,260 = 11,335.96/x
  3. Step 3: Cross multiply
    33,507x = 50,260 × 11,335.96
  4. Step 4: Simplify right side
    33,507x = 569,745,349.60
  5. Step 5: Solve for x
    x = 569,745,349.60/33,507
  6. Step 6: Final answer
    x = 17,003.77

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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.